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Finding the Third Proportional to 81,556 and 179,149

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Solution

The third proportional to 81,556 and 179,149 is: 393,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,556 : 179,149 = 179,149 : x
  2. Step 2: Convert to fraction form
    81,556/179,149 = 179,149/x
  3. Step 3: Cross multiply
    81,556x = 179,149 × 179,149
  4. Step 4: Simplify right side
    81,556x = 32,094,364,201
  5. Step 5: Solve for x
    x = 32,094,364,201/81,556
  6. Step 6: Final answer
    x = 393,525.48

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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.