Question

Find the third proportion to $4$ and $6$

Answer 1

Step $1:$ To find the third proportion of $4$ and $6$

Let the third proportion to $4$ and $6$ be $x$

Then $4$$,$ $6$ and $x$ are in continued proportion$.$

i.e. $4:6::6:x$

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

$\frac{4}{6}=\frac{6}{x}$

$4x=6\times 6$

$x=\frac{36}{4}$

$x=9$

Hence, the third proportion of $4$ and $6$ is $9$