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Finding the Third Proportional to 138.59 and 213.57

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Solution

The third proportional to 138.59 and 213.57 is: 329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.59 : 213.57 = 213.57 : x
  2. Step 2: Convert to fraction form
    138.59/213.57 = 213.57/x
  3. Step 3: Cross multiply
    138.59x = 213.57 × 213.57
  4. Step 4: Simplify right side
    138.59x = 45,613.95
  5. Step 5: Solve for x
    x = 45,613.95/138.59
  6. Step 6: Final answer
    x = 329.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.