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Finding the Third Proportional to 81,864 and 124,020

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Solution

The third proportional to 81,864 and 124,020 is: 187,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864 : 124,020 = 124,020 : x
  2. Step 2: Convert to fraction form
    81,864/124,020 = 124,020/x
  3. Step 3: Cross multiply
    81,864x = 124,020 × 124,020
  4. Step 4: Simplify right side
    81,864x = 15,380,960,400
  5. Step 5: Solve for x
    x = 15,380,960,400/81,864
  6. Step 6: Final answer
    x = 187,884.30

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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.