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Finding the Third Proportional to 126,680 and 268,906

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Solution

The third proportional to 126,680 and 268,906 is: 570,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,680 : 268,906 = 268,906 : x
  2. Step 2: Convert to fraction form
    126,680/268,906 = 268,906/x
  3. Step 3: Cross multiply
    126,680x = 268,906 × 268,906
  4. Step 4: Simplify right side
    126,680x = 72,310,436,836
  5. Step 5: Solve for x
    x = 72,310,436,836/126,680
  6. Step 6: Final answer
    x = 570,811.78

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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.