Question

Find the following properties
$X:6=55:11$
$18:X=27:3$

Answer 1

Here x and $11$ are extremes, $55$ and $6$ are means.

Product of extremes $=$product of means

$x\times 11=6\times 55$

$x=\frac{6\times 55}{11}$

$\therefore x=30$

Product of extremes $=$ product of means

$18\times x=27\times 3$

$x=\frac{27\times 3}{18}$

$\therefore x=\frac{9}{2}$.