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Finding the Third Proportional to 73,536 and 103,552

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Solution

The third proportional to 73,536 and 103,552 is: 145,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,536 : 103,552 = 103,552 : x
  2. Step 2: Convert to fraction form
    73,536/103,552 = 103,552/x
  3. Step 3: Cross multiply
    73,536x = 103,552 × 103,552
  4. Step 4: Simplify right side
    73,536x = 10,723,016,704
  5. Step 5: Solve for x
    x = 10,723,016,704/73,536
  6. Step 6: Final answer
    x = 145,819.96

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.