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Finding the Third Proportional to 165 and 251.91

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Solution

The third proportional to 165 and 251.91 is: 384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 251.91 = 251.91 : x
  2. Step 2: Convert to fraction form
    165/251.91 = 251.91/x
  3. Step 3: Cross multiply
    165x = 251.91 × 251.91
  4. Step 4: Simplify right side
    165x = 63,456.76
  5. Step 5: Solve for x
    x = 63,456.76/165
  6. Step 6: Final answer
    x = 384.59

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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.