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Finding the Third Proportional to 381,791 and 822,591

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Solution

The third proportional to 381,791 and 822,591 is: 1,772,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,791 : 822,591 = 822,591 : x
  2. Step 2: Convert to fraction form
    381,791/822,591 = 822,591/x
  3. Step 3: Cross multiply
    381,791x = 822,591 × 822,591
  4. Step 4: Simplify right side
    381,791x = 676,655,953,281
  5. Step 5: Solve for x
    x = 676,655,953,281/381,791
  6. Step 6: Final answer
    x = 1,772,320.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.