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Finding the Third Proportional to 126,215 and 269,269

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Solution

The third proportional to 126,215 and 269,269 is: 574,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,215 : 269,269 = 269,269 : x
  2. Step 2: Convert to fraction form
    126,215/269,269 = 269,269/x
  3. Step 3: Cross multiply
    126,215x = 269,269 × 269,269
  4. Step 4: Simplify right side
    126,215x = 72,505,794,361
  5. Step 5: Solve for x
    x = 72,505,794,361/126,215
  6. Step 6: Final answer
    x = 574,462.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.