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Finding the Third Proportional to 97.65 and 209.15

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Solution

The third proportional to 97.65 and 209.15 is: 447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.65 : 209.15 = 209.15 : x
  2. Step 2: Convert to fraction form
    97.65/209.15 = 209.15/x
  3. Step 3: Cross multiply
    97.65x = 209.15 × 209.15
  4. Step 4: Simplify right side
    97.65x = 43,745.57
  5. Step 5: Solve for x
    x = 43,745.57/97.65
  6. Step 6: Final answer
    x = 447.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.