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Finding the Third Proportional to 38,120 and 51,204

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Solution

The third proportional to 38,120 and 51,204 is: 68,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,120 : 51,204 = 51,204 : x
  2. Step 2: Convert to fraction form
    38,120/51,204 = 51,204/x
  3. Step 3: Cross multiply
    38,120x = 51,204 × 51,204
  4. Step 4: Simplify right side
    38,120x = 2,621,849,616
  5. Step 5: Solve for x
    x = 2,621,849,616/38,120
  6. Step 6: Final answer
    x = 68,778.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.