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Finding the Third Proportional to 126,680 and 268,908

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Solution

The third proportional to 126,680 and 268,908 is: 570,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,680 : 268,908 = 268,908 : x
  2. Step 2: Convert to fraction form
    126,680/268,908 = 268,908/x
  3. Step 3: Cross multiply
    126,680x = 268,908 × 268,908
  4. Step 4: Simplify right side
    126,680x = 72,311,512,464
  5. Step 5: Solve for x
    x = 72,311,512,464/126,680
  6. Step 6: Final answer
    x = 570,820.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.