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Finding the Third Proportional to 278,826 and 418,869

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Solution

The third proportional to 278,826 and 418,869 is: 629,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,826 : 418,869 = 418,869 : x
  2. Step 2: Convert to fraction form
    278,826/418,869 = 418,869/x
  3. Step 3: Cross multiply
    278,826x = 418,869 × 418,869
  4. Step 4: Simplify right side
    278,826x = 175,451,239,161
  5. Step 5: Solve for x
    x = 175,451,239,161/278,826
  6. Step 6: Final answer
    x = 629,249.92

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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.