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Finding the Third Proportional to 81,452 and 125,864

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Solution

The third proportional to 81,452 and 125,864 is: 194,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,452 : 125,864 = 125,864 : x
  2. Step 2: Convert to fraction form
    81,452/125,864 = 125,864/x
  3. Step 3: Cross multiply
    81,452x = 125,864 × 125,864
  4. Step 4: Simplify right side
    81,452x = 15,841,746,496
  5. Step 5: Solve for x
    x = 15,841,746,496/81,452
  6. Step 6: Final answer
    x = 194,491.80

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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.