Question

Find the third proportion to $8$ and $12$

Answer 1

Step $1:$ To find the third proportion of $8$ and $12$

Let the third proportion to $8$ and $12$ be $x$

Then $8$$,$ $12$ and $x$ are in continued proportion$.$

i.e. $8:12::12:x$

Step $2:$ Now find the value of $x$

$\frac{8}{12}=\frac{12}{x}$

$8x=12\times 12$

$x=\frac{12\times 12}{4\times 2}$

$x=3\times 6$

$x=18$

Hence, the third proportion of $8$ and $12$ is $18$