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Finding the Third Proportional to 195.96 and 422.86

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Solution

The third proportional to 195.96 and 422.86 is: 912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.96 : 422.86 = 422.86 : x
  2. Step 2: Convert to fraction form
    195.96/422.86 = 422.86/x
  3. Step 3: Cross multiply
    195.96x = 422.86 × 422.86
  4. Step 4: Simplify right side
    195.96x = 178,810.05
  5. Step 5: Solve for x
    x = 178,810.05/195.96
  6. Step 6: Final answer
    x = 912.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.