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Finding the Third Proportional to 81.75 and 173.06

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Solution

The third proportional to 81.75 and 173.06 is: 366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.75 : 173.06 = 173.06 : x
  2. Step 2: Convert to fraction form
    81.75/173.06 = 173.06/x
  3. Step 3: Cross multiply
    81.75x = 173.06 × 173.06
  4. Step 4: Simplify right side
    81.75x = 29,950.63
  5. Step 5: Solve for x
    x = 29,950.63/81.75
  6. Step 6: Final answer
    x = 366.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.