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Finding the Third Proportional to 126,940 and 178,314

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Solution

The third proportional to 126,940 and 178,314 is: 250,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,940 : 178,314 = 178,314 : x
  2. Step 2: Convert to fraction form
    126,940/178,314 = 178,314/x
  3. Step 3: Cross multiply
    126,940x = 178,314 × 178,314
  4. Step 4: Simplify right side
    126,940x = 31,795,882,596
  5. Step 5: Solve for x
    x = 31,795,882,596/126,940
  6. Step 6: Final answer
    x = 250,479.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.