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Finding the Third Proportional to 165 and 363.19

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Solution

The third proportional to 165 and 363.19 is: 799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 363.19 = 363.19 : x
  2. Step 2: Convert to fraction form
    165/363.19 = 363.19/x
  3. Step 3: Cross multiply
    165x = 363.19 × 363.19
  4. Step 4: Simplify right side
    165x = 131,905.16
  5. Step 5: Solve for x
    x = 131,905.16/165
  6. Step 6: Final answer
    x = 799.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.