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Finding the Third Proportional to 80,940 and 122,868

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Solution

The third proportional to 80,940 and 122,868 is: 186,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,940 : 122,868 = 122,868 : x
  2. Step 2: Convert to fraction form
    80,940/122,868 = 122,868/x
  3. Step 3: Cross multiply
    80,940x = 122,868 × 122,868
  4. Step 4: Simplify right side
    80,940x = 15,096,545,424
  5. Step 5: Solve for x
    x = 15,096,545,424/80,940
  6. Step 6: Final answer
    x = 186,515.26

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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.