Question

Find the second term of the proportion whose first, third and fourth terms are $3,8$ and $24$ respectively.

Answer 1

Find the second term of the proportion:

Let, the second term be $x$.

Now, $3,x,8and24$ are in proportion.

So, $3:x::8:24$

$\Rightarrow \frac{3}{x}=\frac{8}{24}$

$\Rightarrow 8\times x=3\times 24$

$\Rightarrow x=\frac{3\times 24}{8}$

$\Rightarrow x=9$

Hence, the second term is 9.