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Finding the Third Proportional to 126,456 and 256,548

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Solution

The third proportional to 126,456 and 256,548 is: 520,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,456 : 256,548 = 256,548 : x
  2. Step 2: Convert to fraction form
    126,456/256,548 = 256,548/x
  3. Step 3: Cross multiply
    126,456x = 256,548 × 256,548
  4. Step 4: Simplify right side
    126,456x = 65,816,876,304
  5. Step 5: Solve for x
    x = 65,816,876,304/126,456
  6. Step 6: Final answer
    x = 520,472.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.