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Finding the Third Proportional to 126,800 and 196,239

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Solution

The third proportional to 126,800 and 196,239 is: 303,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,800 : 196,239 = 196,239 : x
  2. Step 2: Convert to fraction form
    126,800/196,239 = 196,239/x
  3. Step 3: Cross multiply
    126,800x = 196,239 × 196,239
  4. Step 4: Simplify right side
    126,800x = 38,509,745,121
  5. Step 5: Solve for x
    x = 38,509,745,121/126,800
  6. Step 6: Final answer
    x = 303,704.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.