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Finding the Third Proportional to 278,872 and 420,930

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Solution

The third proportional to 278,872 and 420,930 is: 635,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,872 : 420,930 = 420,930 : x
  2. Step 2: Convert to fraction form
    278,872/420,930 = 420,930/x
  3. Step 3: Cross multiply
    278,872x = 420,930 × 420,930
  4. Step 4: Simplify right side
    278,872x = 177,182,064,900
  5. Step 5: Solve for x
    x = 177,182,064,900/278,872
  6. Step 6: Final answer
    x = 635,352.65

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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.