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Finding the Third Proportional to 81,952 and 126,567

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Solution

The third proportional to 81,952 and 126,567 is: 195,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,952 : 126,567 = 126,567 : x
  2. Step 2: Convert to fraction form
    81,952/126,567 = 126,567/x
  3. Step 3: Cross multiply
    81,952x = 126,567 × 126,567
  4. Step 4: Simplify right side
    81,952x = 16,019,205,489
  5. Step 5: Solve for x
    x = 16,019,205,489/81,952
  6. Step 6: Final answer
    x = 195,470.59

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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.