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Finding the Third Proportional to 378,758 and 816,552

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Solution

The third proportional to 378,758 and 816,552 is: 1,760,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,758 : 816,552 = 816,552 : x
  2. Step 2: Convert to fraction form
    378,758/816,552 = 816,552/x
  3. Step 3: Cross multiply
    378,758x = 816,552 × 816,552
  4. Step 4: Simplify right side
    378,758x = 666,757,168,704
  5. Step 5: Solve for x
    x = 666,757,168,704/378,758
  6. Step 6: Final answer
    x = 1,760,377.78

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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.