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Finding the Third Proportional to 197.34 and 421.73

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Solution

The third proportional to 197.34 and 421.73 is: 901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.34 : 421.73 = 421.73 : x
  2. Step 2: Convert to fraction form
    197.34/421.73 = 421.73/x
  3. Step 3: Cross multiply
    197.34x = 421.73 × 421.73
  4. Step 4: Simplify right side
    197.34x = 177,859.88
  5. Step 5: Solve for x
    x = 177,859.88/197.34
  6. Step 6: Final answer
    x = 901.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.