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Finding the Third Proportional to 81,058.78 and 129,493.13

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Solution

The third proportional to 81,058.78 and 129,493.13 is: 206,868.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,058.78 : 129,493.13 = 129,493.13 : x
  2. Step 2: Convert to fraction form
    81,058.78/129,493.13 = 129,493.13/x
  3. Step 3: Cross multiply
    81,058.78x = 129,493.13 × 129,493.13
  4. Step 4: Simplify right side
    81,058.78x = 16,768,469,422.27
  5. Step 5: Solve for x
    x = 16,768,469,422.27/81,058.78
  6. Step 6: Final answer
    x = 206,868.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.