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Finding the Third Proportional to 80,920 and 177,392

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Solution

The third proportional to 80,920 and 177,392 is: 388,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,920 : 177,392 = 177,392 : x
  2. Step 2: Convert to fraction form
    80,920/177,392 = 177,392/x
  3. Step 3: Cross multiply
    80,920x = 177,392 × 177,392
  4. Step 4: Simplify right side
    80,920x = 31,467,921,664
  5. Step 5: Solve for x
    x = 31,467,921,664/80,920
  6. Step 6: Final answer
    x = 388,876.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.