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Finding the Third Proportional to 81.21 and 182.67

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Solution

The third proportional to 81.21 and 182.67 is: 410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.21 : 182.67 = 182.67 : x
  2. Step 2: Convert to fraction form
    81.21/182.67 = 182.67/x
  3. Step 3: Cross multiply
    81.21x = 182.67 × 182.67
  4. Step 4: Simplify right side
    81.21x = 33,369.01
  5. Step 5: Solve for x
    x = 33,369.01/81.21
  6. Step 6: Final answer
    x = 410.89

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.