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Finding the Third Proportional to 165.66 and 252.94

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Solution

The third proportional to 165.66 and 252.94 is: 386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.66 : 252.94 = 252.94 : x
  2. Step 2: Convert to fraction form
    165.66/252.94 = 252.94/x
  3. Step 3: Cross multiply
    165.66x = 252.94 × 252.94
  4. Step 4: Simplify right side
    165.66x = 63,977.38
  5. Step 5: Solve for x
    x = 63,977.38/165.66
  6. Step 6: Final answer
    x = 386.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.