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Finding the Third Proportional to 101.19 and 165.84

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Solution

The third proportional to 101.19 and 165.84 is: 271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.19 : 165.84 = 165.84 : x
  2. Step 2: Convert to fraction form
    101.19/165.84 = 165.84/x
  3. Step 3: Cross multiply
    101.19x = 165.84 × 165.84
  4. Step 4: Simplify right side
    101.19x = 27,504.15
  5. Step 5: Solve for x
    x = 27,504.15/101.19
  6. Step 6: Final answer
    x = 271.81

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.