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Finding the Third Proportional to 81,774 and 166,645

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Solution

The third proportional to 81,774 and 166,645 is: 339,601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,774 : 166,645 = 166,645 : x
  2. Step 2: Convert to fraction form
    81,774/166,645 = 166,645/x
  3. Step 3: Cross multiply
    81,774x = 166,645 × 166,645
  4. Step 4: Simplify right side
    81,774x = 27,770,556,025
  5. Step 5: Solve for x
    x = 27,770,556,025/81,774
  6. Step 6: Final answer
    x = 339,601.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.