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Finding the Third Proportional to 61,991 and 127,249

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Solution

The third proportional to 61,991 and 127,249 is: 261,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,991 : 127,249 = 127,249 : x
  2. Step 2: Convert to fraction form
    61,991/127,249 = 127,249/x
  3. Step 3: Cross multiply
    61,991x = 127,249 × 127,249
  4. Step 4: Simplify right side
    61,991x = 16,192,308,001
  5. Step 5: Solve for x
    x = 16,192,308,001/61,991
  6. Step 6: Final answer
    x = 261,204.17

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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.