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Finding the Third Proportional to 80,568 and 177,225

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Solution

The third proportional to 80,568 and 177,225 is: 389,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,568 : 177,225 = 177,225 : x
  2. Step 2: Convert to fraction form
    80,568/177,225 = 177,225/x
  3. Step 3: Cross multiply
    80,568x = 177,225 × 177,225
  4. Step 4: Simplify right side
    80,568x = 31,408,700,625
  5. Step 5: Solve for x
    x = 31,408,700,625/80,568
  6. Step 6: Final answer
    x = 389,840.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.