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Finding the Third Proportional to 80,486.50 and 109,311

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Solution

The third proportional to 80,486.50 and 109,311 is: 148,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,486.50 : 109,311 = 109,311 : x
  2. Step 2: Convert to fraction form
    80,486.50/109,311 = 109,311/x
  3. Step 3: Cross multiply
    80,486.50x = 109,311 × 109,311
  4. Step 4: Simplify right side
    80,486.50x = 11,948,894,721
  5. Step 5: Solve for x
    x = 11,948,894,721/80,486.50
  6. Step 6: Final answer
    x = 148,458.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.