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Finding the Third Proportional to 33,757 and 78,149

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Solution

The third proportional to 33,757 and 78,149 is: 180,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,757 : 78,149 = 78,149 : x
  2. Step 2: Convert to fraction form
    33,757/78,149 = 78,149/x
  3. Step 3: Cross multiply
    33,757x = 78,149 × 78,149
  4. Step 4: Simplify right side
    33,757x = 6,107,266,201
  5. Step 5: Solve for x
    x = 6,107,266,201/33,757
  6. Step 6: Final answer
    x = 180,918.51

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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.