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Finding the Third Proportional to 165.38 and 361.13

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Solution

The third proportional to 165.38 and 361.13 is: 788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 361.13 = 361.13 : x
  2. Step 2: Convert to fraction form
    165.38/361.13 = 361.13/x
  3. Step 3: Cross multiply
    165.38x = 361.13 × 361.13
  4. Step 4: Simplify right side
    165.38x = 130,411.27
  5. Step 5: Solve for x
    x = 130,411.27/165.38
  6. Step 6: Final answer
    x = 788.58

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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.