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Finding the Third Proportional to 81,503 and 129,680

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Solution

The third proportional to 81,503 and 129,680 is: 206,334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,503 : 129,680 = 129,680 : x
  2. Step 2: Convert to fraction form
    81,503/129,680 = 129,680/x
  3. Step 3: Cross multiply
    81,503x = 129,680 × 129,680
  4. Step 4: Simplify right side
    81,503x = 16,816,902,400
  5. Step 5: Solve for x
    x = 16,816,902,400/81,503
  6. Step 6: Final answer
    x = 206,334.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.