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Finding the Third Proportional to 126,218 and 269,940

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Solution

The third proportional to 126,218 and 269,940 is: 577,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,218 : 269,940 = 269,940 : x
  2. Step 2: Convert to fraction form
    126,218/269,940 = 269,940/x
  3. Step 3: Cross multiply
    126,218x = 269,940 × 269,940
  4. Step 4: Simplify right side
    126,218x = 72,867,603,600
  5. Step 5: Solve for x
    x = 72,867,603,600/126,218
  6. Step 6: Final answer
    x = 577,315.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.