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Finding the Third Proportional to 81,678 and 166,812

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Solution

The third proportional to 81,678 and 166,812 is: 340,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,678 : 166,812 = 166,812 : x
  2. Step 2: Convert to fraction form
    81,678/166,812 = 166,812/x
  3. Step 3: Cross multiply
    81,678x = 166,812 × 166,812
  4. Step 4: Simplify right side
    81,678x = 27,826,243,344
  5. Step 5: Solve for x
    x = 27,826,243,344/81,678
  6. Step 6: Final answer
    x = 340,682.23

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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.