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Finding the Third Proportional to 81,256 and 129,755

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Solution

The third proportional to 81,256 and 129,755 is: 207,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,256 : 129,755 = 129,755 : x
  2. Step 2: Convert to fraction form
    81,256/129,755 = 129,755/x
  3. Step 3: Cross multiply
    81,256x = 129,755 × 129,755
  4. Step 4: Simplify right side
    81,256x = 16,836,360,025
  5. Step 5: Solve for x
    x = 16,836,360,025/81,256
  6. Step 6: Final answer
    x = 207,201.44

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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.