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Finding the Third Proportional to 209.81 and 338.34

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Solution

The third proportional to 209.81 and 338.34 is: 545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.81 : 338.34 = 338.34 : x
  2. Step 2: Convert to fraction form
    209.81/338.34 = 338.34/x
  3. Step 3: Cross multiply
    209.81x = 338.34 × 338.34
  4. Step 4: Simplify right side
    209.81x = 114,476.49
  5. Step 5: Solve for x
    x = 114,476.49/209.81
  6. Step 6: Final answer
    x = 545.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.