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Finding the Third Proportional to 381,802 and 822,612

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Solution

The third proportional to 381,802 and 822,612 is: 1,772,359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,802 : 822,612 = 822,612 : x
  2. Step 2: Convert to fraction form
    381,802/822,612 = 822,612/x
  3. Step 3: Cross multiply
    381,802x = 822,612 × 822,612
  4. Step 4: Simplify right side
    381,802x = 676,690,502,544
  5. Step 5: Solve for x
    x = 676,690,502,544/381,802
  6. Step 6: Final answer
    x = 1,772,359.76

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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.