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Finding the Third Proportional to 66,432 and 102,864

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Solution

The third proportional to 66,432 and 102,864 is: 159,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,432 : 102,864 = 102,864 : x
  2. Step 2: Convert to fraction form
    66,432/102,864 = 102,864/x
  3. Step 3: Cross multiply
    66,432x = 102,864 × 102,864
  4. Step 4: Simplify right side
    66,432x = 10,581,002,496
  5. Step 5: Solve for x
    x = 10,581,002,496/66,432
  6. Step 6: Final answer
    x = 159,275.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.