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Finding the Third Proportional to 267,420 and 587,331

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Solution

The third proportional to 267,420 and 587,331 is: 1,289,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,420 : 587,331 = 587,331 : x
  2. Step 2: Convert to fraction form
    267,420/587,331 = 587,331/x
  3. Step 3: Cross multiply
    267,420x = 587,331 × 587,331
  4. Step 4: Simplify right side
    267,420x = 344,957,703,561
  5. Step 5: Solve for x
    x = 344,957,703,561/267,420
  6. Step 6: Final answer
    x = 1,289,947.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.