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Finding the Third Proportional to 33,538 and 78,325

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Solution

The third proportional to 33,538 and 78,325 is: 182,921.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538 : 78,325 = 78,325 : x
  2. Step 2: Convert to fraction form
    33,538/78,325 = 78,325/x
  3. Step 3: Cross multiply
    33,538x = 78,325 × 78,325
  4. Step 4: Simplify right side
    33,538x = 6,134,805,625
  5. Step 5: Solve for x
    x = 6,134,805,625/33,538
  6. Step 6: Final answer
    x = 182,921.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.