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Finding the Third Proportional to 78,204 and 125,920

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Solution

The third proportional to 78,204 and 125,920 is: 202,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,204 : 125,920 = 125,920 : x
  2. Step 2: Convert to fraction form
    78,204/125,920 = 125,920/x
  3. Step 3: Cross multiply
    78,204x = 125,920 × 125,920
  4. Step 4: Simplify right side
    78,204x = 15,855,846,400
  5. Step 5: Solve for x
    x = 15,855,846,400/78,204
  6. Step 6: Final answer
    x = 202,749.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.