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Finding the Third Proportional to 119.39 and 161.09

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Solution

The third proportional to 119.39 and 161.09 is: 217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.39 : 161.09 = 161.09 : x
  2. Step 2: Convert to fraction form
    119.39/161.09 = 161.09/x
  3. Step 3: Cross multiply
    119.39x = 161.09 × 161.09
  4. Step 4: Simplify right side
    119.39x = 25,948.68
  5. Step 5: Solve for x
    x = 25,948.68/119.39
  6. Step 6: Final answer
    x = 217.34

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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.