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Finding the Third Proportional to 52,561 and 81,605

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Solution

The third proportional to 52,561 and 81,605 is: 126,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,561 : 81,605 = 81,605 : x
  2. Step 2: Convert to fraction form
    52,561/81,605 = 81,605/x
  3. Step 3: Cross multiply
    52,561x = 81,605 × 81,605
  4. Step 4: Simplify right side
    52,561x = 6,659,376,025
  5. Step 5: Solve for x
    x = 6,659,376,025/52,561
  6. Step 6: Final answer
    x = 126,698.05

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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.