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Finding the Third Proportional to 81,476 and 127,976

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Solution

The third proportional to 81,476 and 127,976 is: 201,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,476 : 127,976 = 127,976 : x
  2. Step 2: Convert to fraction form
    81,476/127,976 = 127,976/x
  3. Step 3: Cross multiply
    81,476x = 127,976 × 127,976
  4. Step 4: Simplify right side
    81,476x = 16,377,856,576
  5. Step 5: Solve for x
    x = 16,377,856,576/81,476
  6. Step 6: Final answer
    x = 201,014.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.