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Finding the Third Proportional to 82,456 and 124,448

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Solution

The third proportional to 82,456 and 124,448 is: 187,825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,456 : 124,448 = 124,448 : x
  2. Step 2: Convert to fraction form
    82,456/124,448 = 124,448/x
  3. Step 3: Cross multiply
    82,456x = 124,448 × 124,448
  4. Step 4: Simplify right side
    82,456x = 15,487,304,704
  5. Step 5: Solve for x
    x = 15,487,304,704/82,456
  6. Step 6: Final answer
    x = 187,825.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.