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Finding the Third Proportional to 209.11 and 328.92

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Solution

The third proportional to 209.11 and 328.92 is: 517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.11 : 328.92 = 328.92 : x
  2. Step 2: Convert to fraction form
    209.11/328.92 = 328.92/x
  3. Step 3: Cross multiply
    209.11x = 328.92 × 328.92
  4. Step 4: Simplify right side
    209.11x = 108,189.60
  5. Step 5: Solve for x
    x = 108,189.60/209.11
  6. Step 6: Final answer
    x = 517.38

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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.