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Finding the Third Proportional to 165.38 and 209.19

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Solution

The third proportional to 165.38 and 209.19 is: 264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 209.19 = 209.19 : x
  2. Step 2: Convert to fraction form
    165.38/209.19 = 209.19/x
  3. Step 3: Cross multiply
    165.38x = 209.19 × 209.19
  4. Step 4: Simplify right side
    165.38x = 43,759.41
  5. Step 5: Solve for x
    x = 43,759.41/165.38
  6. Step 6: Final answer
    x = 264.61

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.