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Finding the Third Proportional to 138.09 and 199.41

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Solution

The third proportional to 138.09 and 199.41 is: 287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.09 : 199.41 = 199.41 : x
  2. Step 2: Convert to fraction form
    138.09/199.41 = 199.41/x
  3. Step 3: Cross multiply
    138.09x = 199.41 × 199.41
  4. Step 4: Simplify right side
    138.09x = 39,762.85
  5. Step 5: Solve for x
    x = 39,762.85/138.09
  6. Step 6: Final answer
    x = 287.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.