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Finding the Third Proportional to 197.16 and 283.92

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Solution

The third proportional to 197.16 and 283.92 is: 408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.16 : 283.92 = 283.92 : x
  2. Step 2: Convert to fraction form
    197.16/283.92 = 283.92/x
  3. Step 3: Cross multiply
    197.16x = 283.92 × 283.92
  4. Step 4: Simplify right side
    197.16x = 80,611.63
  5. Step 5: Solve for x
    x = 80,611.63/197.16
  6. Step 6: Final answer
    x = 408.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.