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      Question

      If the third proportion of 18 and 36 is β€œ0.5k”, then

      find the value of (k βˆ’ 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 β€˜a’ and β€˜b’ is (bΒ²/a).
      So, 0.5k = (36Β²/18) = 72
      Or, 'k' = 144
      Required value = (144 - 24) : (144 + 16) = 120 : 160 = 3 : 4

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