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Finding the Third Proportional to 80,566 and 124,493

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Solution

The third proportional to 80,566 and 124,493 is: 192,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,566 : 124,493 = 124,493 : x
  2. Step 2: Convert to fraction form
    80,566/124,493 = 124,493/x
  3. Step 3: Cross multiply
    80,566x = 124,493 × 124,493
  4. Step 4: Simplify right side
    80,566x = 15,498,507,049
  5. Step 5: Solve for x
    x = 15,498,507,049/80,566
  6. Step 6: Final answer
    x = 192,370.32

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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.