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Finding the Third Proportional to 81,640.13 and 126,151.88

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Solution

The third proportional to 81,640.13 and 126,151.88 is: 194,932.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,640.13 : 126,151.88 = 126,151.88 : x
  2. Step 2: Convert to fraction form
    81,640.13/126,151.88 = 126,151.88/x
  3. Step 3: Cross multiply
    81,640.13x = 126,151.88 × 126,151.88
  4. Step 4: Simplify right side
    81,640.13x = 15,914,295,566.02
  5. Step 5: Solve for x
    x = 15,914,295,566.02/81,640.13
  6. Step 6: Final answer
    x = 194,932.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.