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Finding the Third Proportional to 126,876 and 273,240

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Solution

The third proportional to 126,876 and 273,240 is: 588,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,876 : 273,240 = 273,240 : x
  2. Step 2: Convert to fraction form
    126,876/273,240 = 273,240/x
  3. Step 3: Cross multiply
    126,876x = 273,240 × 273,240
  4. Step 4: Simplify right side
    126,876x = 74,660,097,600
  5. Step 5: Solve for x
    x = 74,660,097,600/126,876
  6. Step 6: Final answer
    x = 588,449.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.