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Finding the Third Proportional to 81.42 and 173.07

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Solution

The third proportional to 81.42 and 173.07 is: 367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.42 : 173.07 = 173.07 : x
  2. Step 2: Convert to fraction form
    81.42/173.07 = 173.07/x
  3. Step 3: Cross multiply
    81.42x = 173.07 × 173.07
  4. Step 4: Simplify right side
    81.42x = 29,954.69
  5. Step 5: Solve for x
    x = 29,954.69/81.42
  6. Step 6: Final answer
    x = 367.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.