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    Question

    If the third proportion of 18 and 36 is “0.5k”, then

    find the value of (k − 24) : (k + 16).
    A 2:3 Correct Answer Incorrect Answer
    B 3:4 Correct Answer Incorrect Answer
    C 1:2 Correct Answer Incorrect Answer
    D 5:8 Correct Answer Incorrect Answer

    Solution

    Third proportion of two numbers ‘a’ and ‘b’ is (b²/a).
    So, 0.5k = (36²/18) = 72
    Or, 'k' = 144
    Required value = (144 - 24) : (144 + 16) = 120 : 160 = 3 : 4

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