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Finding the Third Proportional to 81,976 and 179,396

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Solution

The third proportional to 81,976 and 179,396 is: 392,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,976 : 179,396 = 179,396 : x
  2. Step 2: Convert to fraction form
    81,976/179,396 = 179,396/x
  3. Step 3: Cross multiply
    81,976x = 179,396 × 179,396
  4. Step 4: Simplify right side
    81,976x = 32,182,924,816
  5. Step 5: Solve for x
    x = 32,182,924,816/81,976
  6. Step 6: Final answer
    x = 392,589.60

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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.