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Finding the Third Proportional to 126,264 and 280,554

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Solution

The third proportional to 126,264 and 280,554 is: 623,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,264 : 280,554 = 280,554 : x
  2. Step 2: Convert to fraction form
    126,264/280,554 = 280,554/x
  3. Step 3: Cross multiply
    126,264x = 280,554 × 280,554
  4. Step 4: Simplify right side
    126,264x = 78,710,546,916
  5. Step 5: Solve for x
    x = 78,710,546,916/126,264
  6. Step 6: Final answer
    x = 623,380.75

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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.