Question

What is the solution to the proportion a/b = c/d?

Answer 1

Answer: ad = bc

Step-by-step explanation: A proportion is an equation which states that two ratios are equal. For example, $\frac{a}{b} = \frac{c}{d}$ is an example of a proportion.

In the given proportion, a and d are called extremes and b and c are called means.

The first property that I will be talking about states that the product of the extremes equals the product of the means.

This idea is called the means-extremes property.

So if $\frac{a}{b} = \frac{c}{d}$, we know that a times d equals b times c by the means-extremes property or ad = bc.

So the solution to the proportion $\frac{a}{b} = \frac{c}{d}$ is ad = bc.