Chapter D, Problem 1ES

To determine

The solution of the proportion $\frac{2}{3}=\frac{x}{6}$.

Answer to Problem 1ES

The solution of the proportion $\frac{2}{3}=\frac{x}{6}$ is $x=4$.

Explanation of Solution

Given Information:

The proportion is $\frac{2}{3}=\frac{x}{6}$.

Calculation:

Consider the proportion,

  $\frac{2}{3}=\frac{x}{6}$

Multiply both the sides by 6, to get,

  $\begin{array}{c}\frac{2}{3}\times 6=\frac{x}{6}\times 6\\ 2\times 2=x\\ x=4\end{array}$

Hence, the solution of the proportion $\frac{2}{3}=\frac{x}{6}$ is $x=4$.