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# Ratios and Proportions Study Guide: GED Math (page 3)

By LearningExpress Editors
LearningExpress, LLC
Updated on Mar 23, 2011

### Solving Proportion Word Problems

Proportions are common in word problems. Let's look at some examples of proportion word problems.

Examples

Margaret drove 220 miles in five hours. If she maintained the same speed, how far could she drive in seven hours?

Set up a proportion: 220 miles/5 hours = ? miles/7 hours, or .

Solve for the missing number in the second ratio: 220 × 7 ÷ 5 = 308, so .

Check your work by cross multiplying:

220 × 7 = 5 × 308

1,540 = 1,540

Keeping the same speed, Margaret could drive 308 miles in seven hours.

1. Harry earns \$6 per hour at his job. If he works nine hours this week, how much will Harry earn?
2. Set up a proportion: \$6/1 hour = \$?/9 hours, or .

Solve for the missing number in the second ratio: 6 × 9 ÷ 1 = \$54. Therefore, .

Check your work by cross multiplying: 6 × 9 = 54 and 1 × 54 = 54.

Working seven hours, Harry will make \$54.

Practice problems for these concepts can be found at:

Measurement Practice Problems: GED Math

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