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Finding the Third Proportional to 75,791 and 126,311

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Solution

The third proportional to 75,791 and 126,311 is: 210,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,791 : 126,311 = 126,311 : x
  2. Step 2: Convert to fraction form
    75,791/126,311 = 126,311/x
  3. Step 3: Cross multiply
    75,791x = 126,311 × 126,311
  4. Step 4: Simplify right side
    75,791x = 15,954,468,721
  5. Step 5: Solve for x
    x = 15,954,468,721/75,791
  6. Step 6: Final answer
    x = 210,506.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.