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Question
Find the third proportional of 2 m 40 cm and 40 cm
Solution
If we have two numbers, a and b, the third proportional x satisfies the equation:
`a/b = b/x`
This means: a : b = b : x
The first number a = 2 m 40 cm=240 (converted to cm)
The second number b = 40 cm
We need to find the third proportional x.
`240/40 = 40/x`
Cross-multiply: 240 × x = 40 × 40
240x = 1600
x = `1600/240`
x = `16/2.4`
= 6.67 cm
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