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Finding the Third Proportional to 80,928 and 122,517

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Solution

The third proportional to 80,928 and 122,517 is: 185,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,928 : 122,517 = 122,517 : x
  2. Step 2: Convert to fraction form
    80,928/122,517 = 122,517/x
  3. Step 3: Cross multiply
    80,928x = 122,517 × 122,517
  4. Step 4: Simplify right side
    80,928x = 15,010,415,289
  5. Step 5: Solve for x
    x = 15,010,415,289/80,928
  6. Step 6: Final answer
    x = 185,478.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.