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Finding the Third Proportional to 84,692 and 124,448

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Solution

The third proportional to 84,692 and 124,448 is: 182,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,692 : 124,448 = 124,448 : x
  2. Step 2: Convert to fraction form
    84,692/124,448 = 124,448/x
  3. Step 3: Cross multiply
    84,692x = 124,448 × 124,448
  4. Step 4: Simplify right side
    84,692x = 15,487,304,704
  5. Step 5: Solve for x
    x = 15,487,304,704/84,692
  6. Step 6: Final answer
    x = 182,866.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.