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Questions10
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1

Determine if the ratios 19:17 and 76:68 are in proportion

2

Determine if the ratios 18:25 and 36:50 are in proportion

3

Determine if the ratios 2:10 and 12:60 are in proportion

4

Determine if the ratios 9:18 and 81:162 are in proportion

5

Determine if the ratios 23:7 and 46:14 are in proportion

6

Determine if the ratios 3:2 and 18:12 are in proportion

7

Determine if the ratios 21:17 and 147:119 are in proportion

8

Determine if the ratios 16:19 and 64:76 are in proportion

9

Determine if the ratios 5:2 and 30:12 are in proportion

10

Determine if the ratios 25:14 and 200:112 are in proportion

Answers Key

Show All Workout

1

Determine if the ratios 19:17 and 76:68 are in proportion

The ratios 19:17 and 76:68 are in proportion

step 1

Write the given ratios in fraction form

19:17 =

1917

76:68 =

7668

step 2

Find product of extremes & product of means

19 x 68 = 76 x 17

Extremes = 19, 68

Means = 76, 17

1917

=

7668

Extremes = 19, 68

Means = 76, 17

step 3

Find the product of Extremes & the product of Means

Product of extremes

19 x 68 = 1292

Product of means

76 x 17 = 1292

Product of extremes

19 x 68 = 1292

Product of means

76 x 17 = 1292

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

1292 = 1292

The product of extremes & product of means is equal

Product of Extremes = Product of Means

1292 = 1292

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 19:17 and 76:68 are in proportion

Since the product of extremes & product of means is equal

The given ratios 19:17 and 76:68 are in proportion

2

Determine if the ratios 18:25 and 36:50 are in proportion

The ratios 18:25 and 36:50 are in proportion

step 1

Write the given ratios in fraction form

18:25 =

1825

36:50 =

3650

step 2

Find product of extremes & product of means

18 x 50 = 36 x 25

Extremes = 18, 50

Means = 36, 25

1825

=

3650

Extremes = 18, 50

Means = 36, 25

step 3

Find the product of Extremes & the product of Means

Product of extremes

18 x 50 = 900

Product of means

36 x 25 = 900

Product of extremes

18 x 50 = 900

Product of means

36 x 25 = 900

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

900 = 900

The product of extremes & product of means is equal

Product of Extremes = Product of Means

900 = 900

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 18:25 and 36:50 are in proportion

Since the product of extremes & product of means is equal

The given ratios 18:25 and 36:50 are in proportion

3

Determine if the ratios 2:10 and 12:60 are in proportion

The ratios 2:10 and 12:60 are in proportion

step 1

Write the given ratios in fraction form

2:10 =

210

12:60 =

1260

step 2

Find product of extremes & product of means

2 x 60 = 12 x 10

Extremes = 2, 60

Means = 12, 10

210

=

1260

Extremes = 2, 60

Means = 12, 10

step 3

Find the product of Extremes & the product of Means

Product of extremes

2 x 60 = 120

Product of means

12 x 10 = 120

Product of extremes

2 x 60 = 120

Product of means

12 x 10 = 120

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

120 = 120

The product of extremes & product of means is equal

Product of Extremes = Product of Means

120 = 120

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 2:10 and 12:60 are in proportion

Since the product of extremes & product of means is equal

The given ratios 2:10 and 12:60 are in proportion

4

Determine if the ratios 9:18 and 81:162 are in proportion

The ratios 9:18 and 81:162 are in proportion

step 1

Write the given ratios in fraction form

9:18 =

918

81:162 =

81162

step 2

Find product of extremes & product of means

9 x 162 = 81 x 18

Extremes = 9, 162

Means = 81, 18

918

=

81162

Extremes = 9, 162

Means = 81, 18

step 3

Find the product of Extremes & the product of Means

Product of extremes

9 x 162 = 1458

Product of means

81 x 18 = 1458

Product of extremes

9 x 162 = 1458

Product of means

81 x 18 = 1458

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

1458 = 1458

The product of extremes & product of means is equal

Product of Extremes = Product of Means

1458 = 1458

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 9:18 and 81:162 are in proportion

Since the product of extremes & product of means is equal

The given ratios 9:18 and 81:162 are in proportion

5

Determine if the ratios 23:7 and 46:14 are in proportion

The ratios 23:7 and 46:14 are in proportion

step 1

Write the given ratios in fraction form

23:7 =

237

46:14 =

4614

step 2

Find product of extremes & product of means

23 x 14 = 46 x 7

Extremes = 23, 14

Means = 46, 7

237

=

4614

Extremes = 23, 14

Means = 46, 7

step 3

Find the product of Extremes & the product of Means

Product of extremes

23 x 14 = 322

Product of means

46 x 7 = 322

Product of extremes

23 x 14 = 322

Product of means

46 x 7 = 322

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

322 = 322

The product of extremes & product of means is equal

Product of Extremes = Product of Means

322 = 322

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 23:7 and 46:14 are in proportion

Since the product of extremes & product of means is equal

The given ratios 23:7 and 46:14 are in proportion

6

Determine if the ratios 3:2 and 18:12 are in proportion

The ratios 3:2 and 18:12 are in proportion

step 1

Write the given ratios in fraction form

3:2 =

32

18:12 =

1812

step 2

Find product of extremes & product of means

3 x 12 = 18 x 2

Extremes = 3, 12

Means = 18, 2

32

=

1812

Extremes = 3, 12

Means = 18, 2

step 3

Find the product of Extremes & the product of Means

Product of extremes

3 x 12 = 36

Product of means

18 x 2 = 36

Product of extremes

3 x 12 = 36

Product of means

18 x 2 = 36

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

36 = 36

The product of extremes & product of means is equal

Product of Extremes = Product of Means

36 = 36

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 3:2 and 18:12 are in proportion

Since the product of extremes & product of means is equal

The given ratios 3:2 and 18:12 are in proportion

7

Determine if the ratios 21:17 and 147:119 are in proportion

The ratios 21:17 and 147:119 are in proportion

step 1

Write the given ratios in fraction form

21:17 =

2117

147:119 =

147119

step 2

Find product of extremes & product of means

21 x 119 = 147 x 17

Extremes = 21, 119

Means = 147, 17

2117

=

147119

Extremes = 21, 119

Means = 147, 17

step 3

Find the product of Extremes & the product of Means

Product of extremes

21 x 119 = 2499

Product of means

147 x 17 = 2499

Product of extremes

21 x 119 = 2499

Product of means

147 x 17 = 2499

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

2499 = 2499

The product of extremes & product of means is equal

Product of Extremes = Product of Means

2499 = 2499

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 21:17 and 147:119 are in proportion

Since the product of extremes & product of means is equal

The given ratios 21:17 and 147:119 are in proportion

8

Determine if the ratios 16:19 and 64:76 are in proportion

The ratios 16:19 and 64:76 are in proportion

step 1

Write the given ratios in fraction form

16:19 =

1619

64:76 =

6476

step 2

Find product of extremes & product of means

16 x 76 = 64 x 19

Extremes = 16, 76

Means = 64, 19

1619

=

6476

Extremes = 16, 76

Means = 64, 19

step 3

Find the product of Extremes & the product of Means

Product of extremes

16 x 76 = 1216

Product of means

64 x 19 = 1216

Product of extremes

16 x 76 = 1216

Product of means

64 x 19 = 1216

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

1216 = 1216

The product of extremes & product of means is equal

Product of Extremes = Product of Means

1216 = 1216

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 16:19 and 64:76 are in proportion

Since the product of extremes & product of means is equal

The given ratios 16:19 and 64:76 are in proportion

9

Determine if the ratios 5:2 and 30:12 are in proportion

The ratios 5:2 and 30:12 are in proportion

step 1

Write the given ratios in fraction form

5:2 =

52

30:12 =

3012

step 2

Find product of extremes & product of means

5 x 12 = 30 x 2

Extremes = 5, 12

Means = 30, 2

52

=

3012

Extremes = 5, 12

Means = 30, 2

step 3

Find the product of Extremes & the product of Means

Product of extremes

5 x 12 = 60

Product of means

30 x 2 = 60

Product of extremes

5 x 12 = 60

Product of means

30 x 2 = 60

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

60 = 60

The product of extremes & product of means is equal

Product of Extremes = Product of Means

60 = 60

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 5:2 and 30:12 are in proportion

Since the product of extremes & product of means is equal

The given ratios 5:2 and 30:12 are in proportion

10

Determine if the ratios 25:14 and 200:112 are in proportion

The ratios 25:14 and 200:112 are in proportion

step 1

Write the given ratios in fraction form

25:14 =

2514

200:112 =

200112

step 2

Find product of extremes & product of means

25 x 112 = 200 x 14

Extremes = 25, 112

Means = 200, 14

2514

=

200112

Extremes = 25, 112

Means = 200, 14

step 3

Find the product of Extremes & the product of Means

Product of extremes

25 x 112 = 2800

Product of means

200 x 14 = 2800

Product of extremes

25 x 112 = 2800

Product of means

200 x 14 = 2800

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

2800 = 2800

The product of extremes & product of means is equal

Product of Extremes = Product of Means

2800 = 2800

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 25:14 and 200:112 are in proportion

Since the product of extremes & product of means is equal

The given ratios 25:14 and 200:112 are in proportion

Determine if the ratios are in proportional worksheet with answers for 6th grade math curriculum is available online for free in printable and downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 ratio & proportion worksheet to practice how to check if the pairs of ratios are in proportion, equivalent or direct variation.

In this sixth grade ratio & proportion worksheet, students are required to determine if the given pair of ratios are in proportional, equivalent or direct variation. Apply the law of proportion to check if each pair of ratios are in proportional. The law of proportion states that the product of means is always equal to the product of extremes if two ratios are equivalent or proportional.

Teachers, tutors, parents or students can check or validate the solved questions by using the corresponding answers key which comprises the step by step work on how to find if the given ratios are proportional.

Students, teachers, tutors or parents can generate unlimited set of questions and answers by using this "**NEW WORKSHEET**" button to prepare exam, assignments, classwork or homework problems, or step by step calculation on how to determine if the ratios are in proportional or equivalent.

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