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Finding the Third Proportional to 122.75 and 165.13

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Solution

The third proportional to 122.75 and 165.13 is: 222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.75 : 165.13 = 165.13 : x
  2. Step 2: Convert to fraction form
    122.75/165.13 = 165.13/x
  3. Step 3: Cross multiply
    122.75x = 165.13 × 165.13
  4. Step 4: Simplify right side
    122.75x = 27,266.27
  5. Step 5: Solve for x
    x = 27,266.27/122.75
  6. Step 6: Final answer
    x = 222.13

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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.