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Finding the Third Proportional to 80,221 and 120,331

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Solution

The third proportional to 80,221 and 120,331 is: 180,495.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,221 : 120,331 = 120,331 : x
  2. Step 2: Convert to fraction form
    80,221/120,331 = 120,331/x
  3. Step 3: Cross multiply
    80,221x = 120,331 × 120,331
  4. Step 4: Simplify right side
    80,221x = 14,479,549,561
  5. Step 5: Solve for x
    x = 14,479,549,561/80,221
  6. Step 6: Final answer
    x = 180,495.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.