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Finding the Third Proportional to 378,892 and 816,812

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Solution

The third proportional to 378,892 and 816,812 is: 1,760,876.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,892 : 816,812 = 816,812 : x
  2. Step 2: Convert to fraction form
    378,892/816,812 = 816,812/x
  3. Step 3: Cross multiply
    378,892x = 816,812 × 816,812
  4. Step 4: Simplify right side
    378,892x = 667,181,843,344
  5. Step 5: Solve for x
    x = 667,181,843,344/378,892
  6. Step 6: Final answer
    x = 1,760,876.04

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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.