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Finding the Third Proportional to 189.21 and 301.96

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Solution

The third proportional to 189.21 and 301.96 is: 481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.21 : 301.96 = 301.96 : x
  2. Step 2: Convert to fraction form
    189.21/301.96 = 301.96/x
  3. Step 3: Cross multiply
    189.21x = 301.96 × 301.96
  4. Step 4: Simplify right side
    189.21x = 91,178.05
  5. Step 5: Solve for x
    x = 91,178.05/189.21
  6. Step 6: Final answer
    x = 481.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.