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Finding the Third Proportional to 51,909 and 80,198

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Solution

The third proportional to 51,909 and 80,198 is: 123,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,909 : 80,198 = 80,198 : x
  2. Step 2: Convert to fraction form
    51,909/80,198 = 80,198/x
  3. Step 3: Cross multiply
    51,909x = 80,198 × 80,198
  4. Step 4: Simplify right side
    51,909x = 6,431,719,204
  5. Step 5: Solve for x
    x = 6,431,719,204/51,909
  6. Step 6: Final answer
    x = 123,903.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.