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Finding the Third Proportional to 126,936 and 275,720

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Solution

The third proportional to 126,936 and 275,720 is: 598,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,936 : 275,720 = 275,720 : x
  2. Step 2: Convert to fraction form
    126,936/275,720 = 275,720/x
  3. Step 3: Cross multiply
    126,936x = 275,720 × 275,720
  4. Step 4: Simplify right side
    126,936x = 76,021,518,400
  5. Step 5: Solve for x
    x = 76,021,518,400/126,936
  6. Step 6: Final answer
    x = 598,896.44

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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.