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Finding the Third Proportional to 278,163 and 417,057

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Solution

The third proportional to 278,163 and 417,057 is: 625,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,163 : 417,057 = 417,057 : x
  2. Step 2: Convert to fraction form
    278,163/417,057 = 417,057/x
  3. Step 3: Cross multiply
    278,163x = 417,057 × 417,057
  4. Step 4: Simplify right side
    278,163x = 173,936,541,249
  5. Step 5: Solve for x
    x = 173,936,541,249/278,163
  6. Step 6: Final answer
    x = 625,304.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.