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Finding the Third Proportional to 119.38 and 213.88

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Solution

The third proportional to 119.38 and 213.88 is: 383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.38 : 213.88 = 213.88 : x
  2. Step 2: Convert to fraction form
    119.38/213.88 = 213.88/x
  3. Step 3: Cross multiply
    119.38x = 213.88 × 213.88
  4. Step 4: Simplify right side
    119.38x = 45,742.52
  5. Step 5: Solve for x
    x = 45,742.52/119.38
  6. Step 6: Final answer
    x = 383.18

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.