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Finding the Third Proportional to 138.42 and 298.17

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Solution

The third proportional to 138.42 and 298.17 is: 642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.42 : 298.17 = 298.17 : x
  2. Step 2: Convert to fraction form
    138.42/298.17 = 298.17/x
  3. Step 3: Cross multiply
    138.42x = 298.17 × 298.17
  4. Step 4: Simplify right side
    138.42x = 88,906.47
  5. Step 5: Solve for x
    x = 88,906.47/138.42
  6. Step 6: Final answer
    x = 642.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.