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Finding the Third Proportional to 80,684 and 177,296

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Solution

The third proportional to 80,684 and 177,296 is: 389,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,684 : 177,296 = 177,296 : x
  2. Step 2: Convert to fraction form
    80,684/177,296 = 177,296/x
  3. Step 3: Cross multiply
    80,684x = 177,296 × 177,296
  4. Step 4: Simplify right side
    80,684x = 31,433,871,616
  5. Step 5: Solve for x
    x = 31,433,871,616/80,684
  6. Step 6: Final answer
    x = 389,592.38

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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.