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Finding the Third Proportional to 80,970 and 177,882

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Solution

The third proportional to 80,970 and 177,882 is: 390,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,970 : 177,882 = 177,882 : x
  2. Step 2: Convert to fraction form
    80,970/177,882 = 177,882/x
  3. Step 3: Cross multiply
    80,970x = 177,882 × 177,882
  4. Step 4: Simplify right side
    80,970x = 31,642,005,924
  5. Step 5: Solve for x
    x = 31,642,005,924/80,970
  6. Step 6: Final answer
    x = 390,786.78

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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.