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Finding the Third Proportional to 80,566 and 133,059

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Solution

The third proportional to 80,566 and 133,059 is: 219,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,566 : 133,059 = 133,059 : x
  2. Step 2: Convert to fraction form
    80,566/133,059 = 133,059/x
  3. Step 3: Cross multiply
    80,566x = 133,059 × 133,059
  4. Step 4: Simplify right side
    80,566x = 17,704,697,481
  5. Step 5: Solve for x
    x = 17,704,697,481/80,566
  6. Step 6: Final answer
    x = 219,753.96

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.