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Finding the Third Proportional to 127,909 and 281,198

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Solution

The third proportional to 127,909 and 281,198 is: 618,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,909 : 281,198 = 281,198 : x
  2. Step 2: Convert to fraction form
    127,909/281,198 = 281,198/x
  3. Step 3: Cross multiply
    127,909x = 281,198 × 281,198
  4. Step 4: Simplify right side
    127,909x = 79,072,315,204
  5. Step 5: Solve for x
    x = 79,072,315,204/127,909
  6. Step 6: Final answer
    x = 618,191.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.