Proportion Word Problems

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, you can use cross-multiplication or find a common factor.

Front

What is the formula for finding distance when speed and time are known?

Back

Distance = Speed × Time.

Front

If a car travels 300 miles in 5 hours, what is its speed?

Back

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

Front

How do you set up a proportion for a word problem?

Back

Identify the two ratios that are being compared and set them equal to each other.

Front

What is the scale of a map?

Back

The scale of a map shows the relationship between distance on the map and actual distance in real life.

Front

If a map scale is 1 inch = 10 miles, how far is 3.5 inches on the map?

Back

3.5 inches × 10 miles/inch = 35 miles.

Front

What is the importance of aligning matching units in proportions?

Back

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

Front

What are the steps to solve a proportion word problem?

Back

1. Read the problem carefully. 2. Identify the known and unknown values. 3. Set up the proportion. 4. Solve for the unknown.

Front

If a car travels 360 miles in 6 hours, how far can it travel in 10 hours?

Back

Distance = (360 miles ÷ 6 hours) × 10 hours = 600 miles.