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Finding the Third Proportional to 81,870 and 126,423

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Solution

The third proportional to 81,870 and 126,423 is: 195,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,870 : 126,423 = 126,423 : x
  2. Step 2: Convert to fraction form
    81,870/126,423 = 126,423/x
  3. Step 3: Cross multiply
    81,870x = 126,423 × 126,423
  4. Step 4: Simplify right side
    81,870x = 15,982,774,929
  5. Step 5: Solve for x
    x = 15,982,774,929/81,870
  6. Step 6: Final answer
    x = 195,221.39

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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.