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Finding the Third Proportional to 193.72 and 421.61

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Solution

The third proportional to 193.72 and 421.61 is: 917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.72 : 421.61 = 421.61 : x
  2. Step 2: Convert to fraction form
    193.72/421.61 = 421.61/x
  3. Step 3: Cross multiply
    193.72x = 421.61 × 421.61
  4. Step 4: Simplify right side
    193.72x = 177,756.11
  5. Step 5: Solve for x
    x = 177,756.11/193.72
  6. Step 6: Final answer
    x = 917.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.