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Finding the Third Proportional to 104 and 138.13

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Solution

The third proportional to 104 and 138.13 is: 183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104 : 138.13 = 138.13 : x
  2. Step 2: Convert to fraction form
    104/138.13 = 138.13/x
  3. Step 3: Cross multiply
    104x = 138.13 × 138.13
  4. Step 4: Simplify right side
    104x = 19,078.52
  5. Step 5: Solve for x
    x = 19,078.52/104
  6. Step 6: Final answer
    x = 183.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.