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Finding the Third Proportional to 81,855 and 179,325

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Solution

The third proportional to 81,855 and 179,325 is: 392,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,855 : 179,325 = 179,325 : x
  2. Step 2: Convert to fraction form
    81,855/179,325 = 179,325/x
  3. Step 3: Cross multiply
    81,855x = 179,325 × 179,325
  4. Step 4: Simplify right side
    81,855x = 32,157,455,625
  5. Step 5: Solve for x
    x = 32,157,455,625/81,855
  6. Step 6: Final answer
    x = 392,858.78

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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.