Solving Proportions

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.

Front

What is cross-multiplication?

Back

Cross-multiplication is a method where you multiply the numerator of one ratio by the denominator of the other ratio.

Front

If a/b = c/d, what is the cross-multiplication equation?

Back

a * d = b * c.

Front

What does it mean if two ratios are equivalent?

Back

It means they represent the same relationship between quantities.

Front

Solve the proportion: 2/3 = x/9

Back

x = 6.

Front

Solve the proportion: 4/5 = 12/x

Back

x = 15.

Front

What is the first step in solving a proportion?

Back

Identify the two ratios that are being compared.

Front

If 3/4 = x/16, what is x?

Back

x = 12.

Front

What is the relationship between the means and extremes in a proportion?

Back

In a proportion, the product of the means equals the product of the extremes.