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Finding the Third Proportional to 126,721 and 274,355

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Solution

The third proportional to 126,721 and 274,355 is: 593,987.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,721 : 274,355 = 274,355 : x
  2. Step 2: Convert to fraction form
    126,721/274,355 = 274,355/x
  3. Step 3: Cross multiply
    126,721x = 274,355 × 274,355
  4. Step 4: Simplify right side
    126,721x = 75,270,666,025
  5. Step 5: Solve for x
    x = 75,270,666,025/126,721
  6. Step 6: Final answer
    x = 593,987.31

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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.