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Finding the Third Proportional to 138.11 and 206.46

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Solution

The third proportional to 138.11 and 206.46 is: 308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.11 : 206.46 = 206.46 : x
  2. Step 2: Convert to fraction form
    138.11/206.46 = 206.46/x
  3. Step 3: Cross multiply
    138.11x = 206.46 × 206.46
  4. Step 4: Simplify right side
    138.11x = 42,623.70
  5. Step 5: Solve for x
    x = 42,623.70/138.11
  6. Step 6: Final answer
    x = 308.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.