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Finding the Third Proportional to 80,822 and 166,621

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Solution

The third proportional to 80,822 and 166,621 is: 343,502.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,822 : 166,621 = 166,621 : x
  2. Step 2: Convert to fraction form
    80,822/166,621 = 166,621/x
  3. Step 3: Cross multiply
    80,822x = 166,621 × 166,621
  4. Step 4: Simplify right side
    80,822x = 27,762,557,641
  5. Step 5: Solve for x
    x = 27,762,557,641/80,822
  6. Step 6: Final answer
    x = 343,502.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.