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Finding the Third Proportional to 138.38 and 295.59

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Solution

The third proportional to 138.38 and 295.59 is: 631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.38 : 295.59 = 295.59 : x
  2. Step 2: Convert to fraction form
    138.38/295.59 = 295.59/x
  3. Step 3: Cross multiply
    138.38x = 295.59 × 295.59
  4. Step 4: Simplify right side
    138.38x = 87,375.67
  5. Step 5: Solve for x
    x = 87,375.67/138.38
  6. Step 6: Final answer
    x = 631.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.