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Finding the Third Proportional to 81,682 and 171,674

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Solution

The third proportional to 81,682 and 171,674 is: 360,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,682 : 171,674 = 171,674 : x
  2. Step 2: Convert to fraction form
    81,682/171,674 = 171,674/x
  3. Step 3: Cross multiply
    81,682x = 171,674 × 171,674
  4. Step 4: Simplify right side
    81,682x = 29,471,962,276
  5. Step 5: Solve for x
    x = 29,471,962,276/81,682
  6. Step 6: Final answer
    x = 360,813.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.