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Finding the Third Proportional to 80,077 and 122,831

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Solution

The third proportional to 80,077 and 122,831 is: 188,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,077 : 122,831 = 122,831 : x
  2. Step 2: Convert to fraction form
    80,077/122,831 = 122,831/x
  3. Step 3: Cross multiply
    80,077x = 122,831 × 122,831
  4. Step 4: Simplify right side
    80,077x = 15,087,454,561
  5. Step 5: Solve for x
    x = 15,087,454,561/80,077
  6. Step 6: Final answer
    x = 188,411.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.