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If q is the mean proportional between p and r, prove that: (p^3 + q^3 + r^3)/(p^2q^2r^2) = 1/p^3 + 1/q^3 + 1/r^3

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If q is the mean proportional between p and r, prove that: (p3 + q3 + r3)/(p2q2r2) = 1/p3 + 1/q3 + 1/r3

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Since, q is the mean proportional between p and r,

q2 = pr

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