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Finding the Third Proportional to 33,775 and 78,191

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Solution

The third proportional to 33,775 and 78,191 is: 181,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,775 : 78,191 = 78,191 : x
  2. Step 2: Convert to fraction form
    33,775/78,191 = 78,191/x
  3. Step 3: Cross multiply
    33,775x = 78,191 × 78,191
  4. Step 4: Simplify right side
    33,775x = 6,113,832,481
  5. Step 5: Solve for x
    x = 6,113,832,481/33,775
  6. Step 6: Final answer
    x = 181,016.51

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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.