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      Question

      If the third proportion of 32 and 48 is “0.5k”, then

      find the value of (k − 44) : (k + 16).
      A 6:8 Correct Answer Incorrect Answer
      B 5:8 Correct Answer Incorrect Answer
      C 3:5 Correct Answer Incorrect Answer
      D 4:6 Correct Answer Incorrect Answer

      Solution

      Third proportion of two numbers ‘a’ and ‘b’ is (b²/a).
      So, 0.5k = (48²/32) = 72
      Or, 'k' = 144
      Required value = (144 - 44) : (144 + 16) = 100 : 160 = 5 : 8

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