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Finding the Third Proportional to 108,668 and 166,231

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Solution

The third proportional to 108,668 and 166,231 is: 254,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,668 : 166,231 = 166,231 : x
  2. Step 2: Convert to fraction form
    108,668/166,231 = 166,231/x
  3. Step 3: Cross multiply
    108,668x = 166,231 × 166,231
  4. Step 4: Simplify right side
    108,668x = 27,632,745,361
  5. Step 5: Solve for x
    x = 27,632,745,361/108,668
  6. Step 6: Final answer
    x = 254,285.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.