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Finding the Third Proportional to 165.75 and 361.78

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Solution

The third proportional to 165.75 and 361.78 is: 789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.75 : 361.78 = 361.78 : x
  2. Step 2: Convert to fraction form
    165.75/361.78 = 361.78/x
  3. Step 3: Cross multiply
    165.75x = 361.78 × 361.78
  4. Step 4: Simplify right side
    165.75x = 130,885.67
  5. Step 5: Solve for x
    x = 130,885.67/165.75
  6. Step 6: Final answer
    x = 789.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.