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Finding the Third Proportional to 166.25 and 209.44

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Solution

The third proportional to 166.25 and 209.44 is: 263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.25 : 209.44 = 209.44 : x
  2. Step 2: Convert to fraction form
    166.25/209.44 = 209.44/x
  3. Step 3: Cross multiply
    166.25x = 209.44 × 209.44
  4. Step 4: Simplify right side
    166.25x = 43,864.07
  5. Step 5: Solve for x
    x = 43,864.07/166.25
  6. Step 6: Final answer
    x = 263.84

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.