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Finding the Third Proportional to 180.96 and 352.92

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Solution

The third proportional to 180.96 and 352.92 is: 688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.96 : 352.92 = 352.92 : x
  2. Step 2: Convert to fraction form
    180.96/352.92 = 352.92/x
  3. Step 3: Cross multiply
    180.96x = 352.92 × 352.92
  4. Step 4: Simplify right side
    180.96x = 124,553.85
  5. Step 5: Solve for x
    x = 124,553.85/180.96
  6. Step 6: Final answer
    x = 688.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.