Question

Find the missing numbers in the following proportions in the table given below .

S. No.	Proportion	Product of extremes	Product of means
(i)	$1:2::4:8$
(ii)	$5:6::75:90$
(iii)	$3:4::24:32$
(iv)	$2:5::\square :15$	30
(v)	$3:6::12:\square$		72

Answer 1

S.No.	Proportion	Product of extremes	product of means
$\left(i\right)$	$1:2::4:8$	$1\times 8=8$	$2\times 4=8$
$\left(ii\right)$	$5:6::75:90$	$5\times 90=450$	$6\times 75=450$
$\left(iii\right)$	$3:4::24:32$	$3\times 32=96$	$4\times 24=96$
$\left(iv\right)$	$2:5::x:15$	$2\times 15=30$	$5x=30$ or $x=5$
$\left(v\right)$	$3:6::12:x$	$3\times x$ or $3x=72\Rightarrow x=\frac{72}{3}=24$	$6\times 12=72$