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Finding the Third Proportional to 81,758 and 179,740

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Solution

The third proportional to 81,758 and 179,740 is: 395,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,758 : 179,740 = 179,740 : x
  2. Step 2: Convert to fraction form
    81,758/179,740 = 179,740/x
  3. Step 3: Cross multiply
    81,758x = 179,740 × 179,740
  4. Step 4: Simplify right side
    81,758x = 32,306,467,600
  5. Step 5: Solve for x
    x = 32,306,467,600/81,758
  6. Step 6: Final answer
    x = 395,147.48

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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.