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Finding the Third Proportional to 33,791 and 78,311

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Solution

The third proportional to 33,791 and 78,311 is: 181,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,791 : 78,311 = 78,311 : x
  2. Step 2: Convert to fraction form
    33,791/78,311 = 78,311/x
  3. Step 3: Cross multiply
    33,791x = 78,311 × 78,311
  4. Step 4: Simplify right side
    33,791x = 6,132,612,721
  5. Step 5: Solve for x
    x = 6,132,612,721/33,791
  6. Step 6: Final answer
    x = 181,486.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.