Chapter 7.2, Problem 2OE

To determine

The equation fitting product rule of extremes and means.

Answer to Problem 2OE

The required equation is $24=7y$ .

Explanation of Solution

Given:

  $\frac{3}{y}=\frac{7}{8}$

Calculation:

Using product of extremes equals to product of means,

  $\begin{array}{l}\frac{a}{b}=\frac{c}{d}\\ \Rightarrow a\times d=c\times b\\ \Rightarrow ad=cb\end{array}$

Now,

  $\begin{array}{l}\frac{3}{y}=\frac{7}{8}\\ \Rightarrow 3\times 8=7\times y\\ \Rightarrow 24=7y\end{array}$

The required equation is $24=7y$ .