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March 18th, 2013, 07:50 AM   #1
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Ratio and Proportion I

If a,b,c,d are in continued proportion, prove that :

After solving L.H.S I got :

But after solving R.H.S I am getting ... Please help.
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March 18th, 2013, 10:35 PM   #2
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As a/b = b/c and c/b = d/c, first square term of LHS = (a/c - b/c + a/b - c/b) = (a/c - d/c) = ((a - d)/c).
Similarly, the second square term of LHS = ((d - a)/b).
The rest is easy.
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