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Finding the Third Proportional to 61,800 and 127,976

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Solution

The third proportional to 61,800 and 127,976 is: 265,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,800 : 127,976 = 127,976 : x
  2. Step 2: Convert to fraction form
    61,800/127,976 = 127,976/x
  3. Step 3: Cross multiply
    61,800x = 127,976 × 127,976
  4. Step 4: Simplify right side
    61,800x = 16,377,856,576
  5. Step 5: Solve for x
    x = 16,377,856,576/61,800
  6. Step 6: Final answer
    x = 265,013.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.