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Finding the Third Proportional to 122.13 and 165.80

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Solution

The third proportional to 122.13 and 165.80 is: 225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.13 : 165.80 = 165.80 : x
  2. Step 2: Convert to fraction form
    122.13/165.80 = 165.80/x
  3. Step 3: Cross multiply
    122.13x = 165.80 × 165.80
  4. Step 4: Simplify right side
    122.13x = 27,488.60
  5. Step 5: Solve for x
    x = 27,488.60/122.13
  6. Step 6: Final answer
    x = 225.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.