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Finding the Third Proportional to 81,629 and 179,296

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Solution

The third proportional to 81,629 and 179,296 is: 393,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,629 : 179,296 = 179,296 : x
  2. Step 2: Convert to fraction form
    81,629/179,296 = 179,296/x
  3. Step 3: Cross multiply
    81,629x = 179,296 × 179,296
  4. Step 4: Simplify right side
    81,629x = 32,147,055,616
  5. Step 5: Solve for x
    x = 32,147,055,616/81,629
  6. Step 6: Final answer
    x = 393,819.05

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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.