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Finding the Third Proportional to 278,917 and 574,339

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Solution

The third proportional to 278,917 and 574,339 is: 1,182,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,917 : 574,339 = 574,339 : x
  2. Step 2: Convert to fraction form
    278,917/574,339 = 574,339/x
  3. Step 3: Cross multiply
    278,917x = 574,339 × 574,339
  4. Step 4: Simplify right side
    278,917x = 329,865,286,921
  5. Step 5: Solve for x
    x = 329,865,286,921/278,917
  6. Step 6: Final answer
    x = 1,182,664.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.