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Finding the Third Proportional to 81,819 and 179,716

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Solution

The third proportional to 81,819 and 179,716 is: 394,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,819 : 179,716 = 179,716 : x
  2. Step 2: Convert to fraction form
    81,819/179,716 = 179,716/x
  3. Step 3: Cross multiply
    81,819x = 179,716 × 179,716
  4. Step 4: Simplify right side
    81,819x = 32,297,840,656
  5. Step 5: Solve for x
    x = 32,297,840,656/81,819
  6. Step 6: Final answer
    x = 394,747.44

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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.