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Finding the Third Proportional to 138.31 and 201.44

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Solution

The third proportional to 138.31 and 201.44 is: 293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.31 : 201.44 = 201.44 : x
  2. Step 2: Convert to fraction form
    138.31/201.44 = 201.44/x
  3. Step 3: Cross multiply
    138.31x = 201.44 × 201.44
  4. Step 4: Simplify right side
    138.31x = 40,577.07
  5. Step 5: Solve for x
    x = 40,577.07/138.31
  6. Step 6: Final answer
    x = 293.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.