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Finding the Third Proportional to 81,494 and 129,673

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Solution

The third proportional to 81,494 and 129,673 is: 206,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,494 : 129,673 = 129,673 : x
  2. Step 2: Convert to fraction form
    81,494/129,673 = 129,673/x
  3. Step 3: Cross multiply
    81,494x = 129,673 × 129,673
  4. Step 4: Simplify right side
    81,494x = 16,815,086,929
  5. Step 5: Solve for x
    x = 16,815,086,929/81,494
  6. Step 6: Final answer
    x = 206,335.28

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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.