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Finding the Third Proportional to 126,731 and 268,942

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Solution

The third proportional to 126,731 and 268,942 is: 570,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,731 : 268,942 = 268,942 : x
  2. Step 2: Convert to fraction form
    126,731/268,942 = 268,942/x
  3. Step 3: Cross multiply
    126,731x = 268,942 × 268,942
  4. Step 4: Simplify right side
    126,731x = 72,329,799,364
  5. Step 5: Solve for x
    x = 72,329,799,364/126,731
  6. Step 6: Final answer
    x = 570,734.86

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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.