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Finding the Third Proportional to 80,990 and 177,924

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Solution

The third proportional to 80,990 and 177,924 is: 390,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,990 : 177,924 = 177,924 : x
  2. Step 2: Convert to fraction form
    80,990/177,924 = 177,924/x
  3. Step 3: Cross multiply
    80,990x = 177,924 × 177,924
  4. Step 4: Simplify right side
    80,990x = 31,656,949,776
  5. Step 5: Solve for x
    x = 31,656,949,776/80,990
  6. Step 6: Final answer
    x = 390,874.80

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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.