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Finding the Third Proportional to 165.47 and 252.66

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Solution

The third proportional to 165.47 and 252.66 is: 385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.47 : 252.66 = 252.66 : x
  2. Step 2: Convert to fraction form
    165.47/252.66 = 252.66/x
  3. Step 3: Cross multiply
    165.47x = 252.66 × 252.66
  4. Step 4: Simplify right side
    165.47x = 63,835.18
  5. Step 5: Solve for x
    x = 63,835.18/165.47
  6. Step 6: Final answer
    x = 385.78

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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.