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Finding the Third Proportional to 197.86 and 271.90

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Solution

The third proportional to 197.86 and 271.90 is: 373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.86 : 271.90 = 271.90 : x
  2. Step 2: Convert to fraction form
    197.86/271.90 = 271.90/x
  3. Step 3: Cross multiply
    197.86x = 271.90 × 271.90
  4. Step 4: Simplify right side
    197.86x = 73,928.76
  5. Step 5: Solve for x
    x = 73,928.76/197.86
  6. Step 6: Final answer
    x = 373.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.