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Finding the Third Proportional to 378,788 and 814,924

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Solution

The third proportional to 378,788 and 814,924 is: 1,753,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,788 : 814,924 = 814,924 : x
  2. Step 2: Convert to fraction form
    378,788/814,924 = 814,924/x
  3. Step 3: Cross multiply
    378,788x = 814,924 × 814,924
  4. Step 4: Simplify right side
    378,788x = 664,101,125,776
  5. Step 5: Solve for x
    x = 664,101,125,776/378,788
  6. Step 6: Final answer
    x = 1,753,226.41

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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.