Question
Find the third proportion to the following :
$16x^2 $and $24x$
$16x^2 $and $24x$
✓
Answer
Let y be !he third proportion
$16x^2 : 24x : : 24 x : y$
$\Rightarrow 16x^2 : 24 x : : 24 x : y$
$\Rightarrow 16x^2 y = 576 x^2$
$\Rightarrow 16 y = 576$
$\Rightarrow y = 36$
The third proporbon is $36.$
$16x^2 : 24x : : 24 x : y$
$\Rightarrow 16x^2 : 24 x : : 24 x : y$
$\Rightarrow 16x^2 y = 576 x^2$
$\Rightarrow 16 y = 576$
$\Rightarrow y = 36$
The third proporbon is $36.$
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