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Finding the Third Proportional to 239,867 and 517,102

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Solution

The third proportional to 239,867 and 517,102 is: 1,114,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,867 : 517,102 = 517,102 : x
  2. Step 2: Convert to fraction form
    239,867/517,102 = 517,102/x
  3. Step 3: Cross multiply
    239,867x = 517,102 × 517,102
  4. Step 4: Simplify right side
    239,867x = 267,394,478,404
  5. Step 5: Solve for x
    x = 267,394,478,404/239,867
  6. Step 6: Final answer
    x = 1,114,761.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.