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Finding the Third Proportional to 278,634 and 420,543

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Solution

The third proportional to 278,634 and 420,543 is: 634,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,634 : 420,543 = 420,543 : x
  2. Step 2: Convert to fraction form
    278,634/420,543 = 420,543/x
  3. Step 3: Cross multiply
    278,634x = 420,543 × 420,543
  4. Step 4: Simplify right side
    278,634x = 176,856,414,849
  5. Step 5: Solve for x
    x = 176,856,414,849/278,634
  6. Step 6: Final answer
    x = 634,726.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.