Question

Find the third proportion of:
(1) $32,16$
(2) $4\frac{1}{6},5$
(3) $4.2,0.7$
(4) $240$ paise, $480$ paise

Answer 1

$i).$ $32,16$

To find the third propotional, let third proportional be $x$

$32:16::16:x$

$\Rightarrow \frac{32}{16}=\frac{16}{x}$

$32x=256$

$x=\frac{256}{32}$

$x=8$

$ii).$ $4\frac{1}{6},5$

$\frac{25}{6}:5::5:x$

$\frac{25}{6\times 5}=\frac{5}{x}$

$x=\frac{5\times 5\times 6}{25}$

$x=6$

$iii).$ $4.2,0.7$

$4.2:0.7::0.7:x$

$\Rightarrow \frac{4.2}{0.7}=\frac{0.7}{x}$

$x=\frac{0.7\times 0.7}{4.2}$

$x=\frac{7}{60}$

$iv).$ $240paise,480paise$

$240:480::480:x$

$\Rightarrow \frac{240}{480}=\frac{480}{x}$

$x=\frac{480\times 480}{240}$

$x=960$

Hence, solved.