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Finding the Third Proportional to 381,897 and 822,815

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Solution

The third proportional to 381,897 and 822,815 is: 1,772,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,897 : 822,815 = 822,815 : x
  2. Step 2: Convert to fraction form
    381,897/822,815 = 822,815/x
  3. Step 3: Cross multiply
    381,897x = 822,815 × 822,815
  4. Step 4: Simplify right side
    381,897x = 677,024,524,225
  5. Step 5: Solve for x
    x = 677,024,524,225/381,897
  6. Step 6: Final answer
    x = 1,772,793.51

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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.