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Finding the Third Proportional to 89,928 and 135,123.75

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Solution

The third proportional to 89,928 and 135,123.75 is: 203,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,928 : 135,123.75 = 135,123.75 : x
  2. Step 2: Convert to fraction form
    89,928/135,123.75 = 135,123.75/x
  3. Step 3: Cross multiply
    89,928x = 135,123.75 × 135,123.75
  4. Step 4: Simplify right side
    89,928x = 18,258,427,814.06
  5. Step 5: Solve for x
    x = 18,258,427,814.06/89,928
  6. Step 6: Final answer
    x = 203,033.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.