Chapter 8, Problem 1RP

To determine

To find the means and the extremes in the proportion.

Answer to Problem 1RP

The means in the proportion are b and c.

The extremes in the proportion are a and d.

Explanation of Solution

Given information:

Proportion is $\frac{a}{b}=\frac{c}{d}$

In this form, “ a” is called the first term, “ b ” is called the second term, “ c ” is called the third term, and “ d ” is called the fourth term.

Formula used:

A proportion is an equation stating that two or more ratios are equal. In a proportion containing four terms,

The first and fourth terms are called the extremes

The second and third terms are called the means.

The proportion can be written as

  $a:b::c:d$

Therefore, the middle terms are known as means and the outer terms are known as extremes. Therefore,

The means of the proportion are “ b ” and “ c ”.

The extremes of the proportion are “ a ” and “ d ”.