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Finding the Third Proportional to 129,125 and 279,691

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Solution

The third proportional to 129,125 and 279,691 is: 605,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,125 : 279,691 = 279,691 : x
  2. Step 2: Convert to fraction form
    129,125/279,691 = 279,691/x
  3. Step 3: Cross multiply
    129,125x = 279,691 × 279,691
  4. Step 4: Simplify right side
    129,125x = 78,227,055,481
  5. Step 5: Solve for x
    x = 78,227,055,481/129,125
  6. Step 6: Final answer
    x = 605,824.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.