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Finding the Third Proportional to 126,272 and 280,571

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Solution

The third proportional to 126,272 and 280,571 is: 623,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,272 : 280,571 = 280,571 : x
  2. Step 2: Convert to fraction form
    126,272/280,571 = 280,571/x
  3. Step 3: Cross multiply
    126,272x = 280,571 × 280,571
  4. Step 4: Simplify right side
    126,272x = 78,720,086,041
  5. Step 5: Solve for x
    x = 78,720,086,041/126,272
  6. Step 6: Final answer
    x = 623,416.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.