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Finding the Third Proportional to 131.91 and 197.86

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Solution

The third proportional to 131.91 and 197.86 is: 296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.91 : 197.86 = 197.86 : x
  2. Step 2: Convert to fraction form
    131.91/197.86 = 197.86/x
  3. Step 3: Cross multiply
    131.91x = 197.86 × 197.86
  4. Step 4: Simplify right side
    131.91x = 39,148.33
  5. Step 5: Solve for x
    x = 39,148.33/131.91
  6. Step 6: Final answer
    x = 296.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.