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Finding the Third Proportional to 81,448 and 125,857

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Solution

The third proportional to 81,448 and 125,857 is: 194,479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,448 : 125,857 = 125,857 : x
  2. Step 2: Convert to fraction form
    81,448/125,857 = 125,857/x
  3. Step 3: Cross multiply
    81,448x = 125,857 × 125,857
  4. Step 4: Simplify right side
    81,448x = 15,839,984,449
  5. Step 5: Solve for x
    x = 15,839,984,449/81,448
  6. Step 6: Final answer
    x = 194,479.72

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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.