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Finding the Third Proportional to 278,846 and 420,867

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Solution

The third proportional to 278,846 and 420,867 is: 635,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,846 : 420,867 = 420,867 : x
  2. Step 2: Convert to fraction form
    278,846/420,867 = 420,867/x
  3. Step 3: Cross multiply
    278,846x = 420,867 × 420,867
  4. Step 4: Simplify right side
    278,846x = 177,129,031,689
  5. Step 5: Solve for x
    x = 177,129,031,689/278,846
  6. Step 6: Final answer
    x = 635,221.71

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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.