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Finding the Third Proportional to 168,195 and 198,915

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Solution

The third proportional to 168,195 and 198,915 is: 235,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,195 : 198,915 = 198,915 : x
  2. Step 2: Convert to fraction form
    168,195/198,915 = 198,915/x
  3. Step 3: Cross multiply
    168,195x = 198,915 × 198,915
  4. Step 4: Simplify right side
    168,195x = 39,567,177,225
  5. Step 5: Solve for x
    x = 39,567,177,225/168,195
  6. Step 6: Final answer
    x = 235,245.86

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.