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Finding the Third Proportional to 421.14 and 863.79

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Solution

The third proportional to 421.14 and 863.79 is: 1,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.14 : 863.79 = 863.79 : x
  2. Step 2: Convert to fraction form
    421.14/863.79 = 863.79/x
  3. Step 3: Cross multiply
    421.14x = 863.79 × 863.79
  4. Step 4: Simplify right side
    421.14x = 746,131.54
  5. Step 5: Solve for x
    x = 746,131.54/421.14
  6. Step 6: Final answer
    x = 1,771.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.