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Finding the Third Proportional to 267,419 and 587,320

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Solution

The third proportional to 267,419 and 587,320 is: 1,289,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,419 : 587,320 = 587,320 : x
  2. Step 2: Convert to fraction form
    267,419/587,320 = 587,320/x
  3. Step 3: Cross multiply
    267,419x = 587,320 × 587,320
  4. Step 4: Simplify right side
    267,419x = 344,944,782,400
  5. Step 5: Solve for x
    x = 344,944,782,400/267,419
  6. Step 6: Final answer
    x = 1,289,903.79

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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.