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Finding the Third Proportional to 122.06 and 165.09

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Solution

The third proportional to 122.06 and 165.09 is: 223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 165.09 = 165.09 : x
  2. Step 2: Convert to fraction form
    122.06/165.09 = 165.09/x
  3. Step 3: Cross multiply
    122.06x = 165.09 × 165.09
  4. Step 4: Simplify right side
    122.06x = 27,255.95
  5. Step 5: Solve for x
    x = 27,255.95/122.06
  6. Step 6: Final answer
    x = 223.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.