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Finding the Third Proportional to 278,042 and 565,908

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Solution

The third proportional to 278,042 and 565,908 is: 1,151,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,042 : 565,908 = 565,908 : x
  2. Step 2: Convert to fraction form
    278,042/565,908 = 565,908/x
  3. Step 3: Cross multiply
    278,042x = 565,908 × 565,908
  4. Step 4: Simplify right side
    278,042x = 320,251,864,464
  5. Step 5: Solve for x
    x = 320,251,864,464/278,042
  6. Step 6: Final answer
    x = 1,151,811.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.