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Finding the Third Proportional to 197.38 and 421.63

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Solution

The third proportional to 197.38 and 421.63 is: 900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.38 : 421.63 = 421.63 : x
  2. Step 2: Convert to fraction form
    197.38/421.63 = 421.63/x
  3. Step 3: Cross multiply
    197.38x = 421.63 × 421.63
  4. Step 4: Simplify right side
    197.38x = 177,767.64
  5. Step 5: Solve for x
    x = 177,767.64/197.38
  6. Step 6: Final answer
    x = 900.66

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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.