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Finding the Third Proportional to 126,786 and 196,215

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Solution

The third proportional to 126,786 and 196,215 is: 303,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,786 : 196,215 = 196,215 : x
  2. Step 2: Convert to fraction form
    126,786/196,215 = 196,215/x
  3. Step 3: Cross multiply
    126,786x = 196,215 × 196,215
  4. Step 4: Simplify right side
    126,786x = 38,500,326,225
  5. Step 5: Solve for x
    x = 38,500,326,225/126,786
  6. Step 6: Final answer
    x = 303,663.86

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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.