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Finding the Third Proportional to 81,963.25 and 126,449

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Solution

The third proportional to 81,963.25 and 126,449 is: 195,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,963.25 : 126,449 = 126,449 : x
  2. Step 2: Convert to fraction form
    81,963.25/126,449 = 126,449/x
  3. Step 3: Cross multiply
    81,963.25x = 126,449 × 126,449
  4. Step 4: Simplify right side
    81,963.25x = 15,989,349,601
  5. Step 5: Solve for x
    x = 15,989,349,601/81,963.25
  6. Step 6: Final answer
    x = 195,079.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.