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Finding the Third Proportional to 80,689 and 176,930

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Solution

The third proportional to 80,689 and 176,930 is: 387,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,689 : 176,930 = 176,930 : x
  2. Step 2: Convert to fraction form
    80,689/176,930 = 176,930/x
  3. Step 3: Cross multiply
    80,689x = 176,930 × 176,930
  4. Step 4: Simplify right side
    80,689x = 31,304,224,900
  5. Step 5: Solve for x
    x = 31,304,224,900/80,689
  6. Step 6: Final answer
    x = 387,961.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.