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Finding the Third Proportional to 126,869 and 276,339

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Solution

The third proportional to 126,869 and 276,339 is: 601,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,869 : 276,339 = 276,339 : x
  2. Step 2: Convert to fraction form
    126,869/276,339 = 276,339/x
  3. Step 3: Cross multiply
    126,869x = 276,339 × 276,339
  4. Step 4: Simplify right side
    126,869x = 76,363,242,921
  5. Step 5: Solve for x
    x = 76,363,242,921/126,869
  6. Step 6: Final answer
    x = 601,906.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.