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Finding the Third Proportional to 197.86 and 297.42

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Solution

The third proportional to 197.86 and 297.42 is: 447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.86 : 297.42 = 297.42 : x
  2. Step 2: Convert to fraction form
    197.86/297.42 = 297.42/x
  3. Step 3: Cross multiply
    197.86x = 297.42 × 297.42
  4. Step 4: Simplify right side
    197.86x = 88,459.77
  5. Step 5: Solve for x
    x = 88,459.77/197.86
  6. Step 6: Final answer
    x = 447.08

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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.