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Finding the Third Proportional to 155,204 and 338,839

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Solution

The third proportional to 155,204 and 338,839 is: 739,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,204 : 338,839 = 338,839 : x
  2. Step 2: Convert to fraction form
    155,204/338,839 = 338,839/x
  3. Step 3: Cross multiply
    155,204x = 338,839 × 338,839
  4. Step 4: Simplify right side
    155,204x = 114,811,867,921
  5. Step 5: Solve for x
    x = 114,811,867,921/155,204
  6. Step 6: Final answer
    x = 739,748.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.