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Finding the Third Proportional to 137,279 and 281,249

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Solution

The third proportional to 137,279 and 281,249 is: 576,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,279 : 281,249 = 281,249 : x
  2. Step 2: Convert to fraction form
    137,279/281,249 = 281,249/x
  3. Step 3: Cross multiply
    137,279x = 281,249 × 281,249
  4. Step 4: Simplify right side
    137,279x = 79,101,000,001
  5. Step 5: Solve for x
    x = 79,101,000,001/137,279
  6. Step 6: Final answer
    x = 576,206.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.