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Question
If P : Q = `1/2 : 1/3` and Q : R = `1 1/2 : 1 1/3`, find P : R.
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Solution
P : Q = `1/2 : 1/3`
∴ `"P"/"Q" = 1/2 xx 3/1 = 3/2`
and Q : R = `1 1/2 : 1 1/3 = 3/2 : 4/3`
∴ `"Q"/"R" = 3/2 xx 3/4 = 9/8`
Now `"P"/"Q" xx "Q"/"R" = 3/2 xx 9/8`
`=> "P"/"R" = 27/16`
∴ P : R = 27 : 16
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