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Finding the Third Proportional to 378,974 and 815,296

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Solution

The third proportional to 378,974 and 815,296 is: 1,753,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,974 : 815,296 = 815,296 : x
  2. Step 2: Convert to fraction form
    378,974/815,296 = 815,296/x
  3. Step 3: Cross multiply
    378,974x = 815,296 × 815,296
  4. Step 4: Simplify right side
    378,974x = 664,707,567,616
  5. Step 5: Solve for x
    x = 664,707,567,616/378,974
  6. Step 6: Final answer
    x = 1,753,966.15

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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.