Proportion Word Problems

A proportion is an equation that states that two ratios are equal.

To set up a proportion, write two ratios as fractions and set them equal to each other.

The scale of a map shows the relationship between distances on the map and actual distances in the real world.

Multiply 3.5 inches by 10 miles/inch to get 35 miles.

Aligning matching units ensures that the ratios being compared are consistent and valid.

Set up a proportion: 2 cups/24 cookies = x cups/36 cookies, solving gives x = 3 cups.

Distance = Speed × Time.

Speed = Distance/Time = 300 miles/5 hours = 60 miles per hour.

Set up a proportion based on the cost of a known quantity to find the cost of the desired quantity.

Cost of 1 book = Total cost/Number of books = $25/5 = $5.