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Finding the Third Proportional to 61,986 and 127,238

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Solution

The third proportional to 61,986 and 127,238 is: 261,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,986 : 127,238 = 127,238 : x
  2. Step 2: Convert to fraction form
    61,986/127,238 = 127,238/x
  3. Step 3: Cross multiply
    61,986x = 127,238 × 127,238
  4. Step 4: Simplify right side
    61,986x = 16,189,508,644
  5. Step 5: Solve for x
    x = 16,189,508,644/61,986
  6. Step 6: Final answer
    x = 261,180.08

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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.