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Finding the Third Proportional to 81,502 and 129,677

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Solution

The third proportional to 81,502 and 129,677 is: 206,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,502 : 129,677 = 129,677 : x
  2. Step 2: Convert to fraction form
    81,502/129,677 = 129,677/x
  3. Step 3: Cross multiply
    81,502x = 129,677 × 129,677
  4. Step 4: Simplify right side
    81,502x = 16,816,124,329
  5. Step 5: Solve for x
    x = 16,816,124,329/81,502
  6. Step 6: Final answer
    x = 206,327.75

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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.