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Finding the Third Proportional to 126,728 and 275,508

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Solution

The third proportional to 126,728 and 275,508 is: 598,957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,728 : 275,508 = 275,508 : x
  2. Step 2: Convert to fraction form
    126,728/275,508 = 275,508/x
  3. Step 3: Cross multiply
    126,728x = 275,508 × 275,508
  4. Step 4: Simplify right side
    126,728x = 75,904,658,064
  5. Step 5: Solve for x
    x = 75,904,658,064/126,728
  6. Step 6: Final answer
    x = 598,957.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.