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      Question

      If the third proportion of 36 and 54 is β€œ0.5k”, then

      find the value of (k βˆ’ 28) : (k + 20).
      A 67:91 Correct Answer Incorrect Answer
      B 3:5 Correct Answer Incorrect Answer
      C 2:3 Correct Answer Incorrect Answer
      D 7:10 Correct Answer Incorrect Answer

      Solution

      Third proportion of two numbers β€˜a’ and β€˜b’ is (bΒ²/a).
      So, 0.5k = (54Β²/36) = 81
      Or, 'k' = 162
      Required value = (162 - 28) : (162 + 20) = 134 : 182 = 67 : 91

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