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Finding the Third Proportional to 278,165 and 417,060

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Solution

The third proportional to 278,165 and 417,060 is: 625,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,165 : 417,060 = 417,060 : x
  2. Step 2: Convert to fraction form
    278,165/417,060 = 417,060/x
  3. Step 3: Cross multiply
    278,165x = 417,060 × 417,060
  4. Step 4: Simplify right side
    278,165x = 173,939,043,600
  5. Step 5: Solve for x
    x = 173,939,043,600/278,165
  6. Step 6: Final answer
    x = 625,308.88

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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.