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Finding the Third Proportional to 80,427 and 122,367

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Solution

The third proportional to 80,427 and 122,367 is: 186,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,427 : 122,367 = 122,367 : x
  2. Step 2: Convert to fraction form
    80,427/122,367 = 122,367/x
  3. Step 3: Cross multiply
    80,427x = 122,367 × 122,367
  4. Step 4: Simplify right side
    80,427x = 14,973,682,689
  5. Step 5: Solve for x
    x = 14,973,682,689/80,427
  6. Step 6: Final answer
    x = 186,177.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.