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Finding the Third Proportional to 80,589 and 177,258

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Solution

The third proportional to 80,589 and 177,258 is: 389,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,589 : 177,258 = 177,258 : x
  2. Step 2: Convert to fraction form
    80,589/177,258 = 177,258/x
  3. Step 3: Cross multiply
    80,589x = 177,258 × 177,258
  4. Step 4: Simplify right side
    80,589x = 31,420,398,564
  5. Step 5: Solve for x
    x = 31,420,398,564/80,589
  6. Step 6: Final answer
    x = 389,884.46

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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.