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Finding the Third Proportional to 126,560 and 278,384

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Solution

The third proportional to 126,560 and 278,384 is: 612,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,560 : 278,384 = 278,384 : x
  2. Step 2: Convert to fraction form
    126,560/278,384 = 278,384/x
  3. Step 3: Cross multiply
    126,560x = 278,384 × 278,384
  4. Step 4: Simplify right side
    126,560x = 77,497,651,456
  5. Step 5: Solve for x
    x = 77,497,651,456/126,560
  6. Step 6: Final answer
    x = 612,339.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.