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Finding the Third Proportional to 68.13 and 138.25

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Solution

The third proportional to 68.13 and 138.25 is: 280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.13 : 138.25 = 138.25 : x
  2. Step 2: Convert to fraction form
    68.13/138.25 = 138.25/x
  3. Step 3: Cross multiply
    68.13x = 138.25 × 138.25
  4. Step 4: Simplify right side
    68.13x = 19,113.06
  5. Step 5: Solve for x
    x = 19,113.06/68.13
  6. Step 6: Final answer
    x = 280.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.