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Finding the Third Proportional to 381,267 and 825,291

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Solution

The third proportional to 381,267 and 825,291 is: 1,786,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,267 : 825,291 = 825,291 : x
  2. Step 2: Convert to fraction form
    381,267/825,291 = 825,291/x
  3. Step 3: Cross multiply
    381,267x = 825,291 × 825,291
  4. Step 4: Simplify right side
    381,267x = 681,105,234,681
  5. Step 5: Solve for x
    x = 681,105,234,681/381,267
  6. Step 6: Final answer
    x = 1,786,425.88

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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.