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Finding the Third Proportional to 97.38 and 209.04

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Solution

The third proportional to 97.38 and 209.04 is: 448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.38 : 209.04 = 209.04 : x
  2. Step 2: Convert to fraction form
    97.38/209.04 = 209.04/x
  3. Step 3: Cross multiply
    97.38x = 209.04 × 209.04
  4. Step 4: Simplify right side
    97.38x = 43,697.33
  5. Step 5: Solve for x
    x = 43,697.33/97.38
  6. Step 6: Final answer
    x = 448.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.