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Finding the Third Proportional to 209 and 329

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Solution

The third proportional to 209 and 329 is: 517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209 : 329 = 329 : x
  2. Step 2: Convert to fraction form
    209/329 = 329/x
  3. Step 3: Cross multiply
    209x = 329 × 329
  4. Step 4: Simplify right side
    209x = 108,241
  5. Step 5: Solve for x
    x = 108,241/209
  6. Step 6: Final answer
    x = 517.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.