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Finding the Third Proportional to 209.91 and 308.67

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Solution

The third proportional to 209.91 and 308.67 is: 453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.91 : 308.67 = 308.67 : x
  2. Step 2: Convert to fraction form
    209.91/308.67 = 308.67/x
  3. Step 3: Cross multiply
    209.91x = 308.67 × 308.67
  4. Step 4: Simplify right side
    209.91x = 95,278.33
  5. Step 5: Solve for x
    x = 95,278.33/209.91
  6. Step 6: Final answer
    x = 453.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.