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Finding the Third Proportional to 138.66 and 202.31

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Solution

The third proportional to 138.66 and 202.31 is: 295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.66 : 202.31 = 202.31 : x
  2. Step 2: Convert to fraction form
    138.66/202.31 = 202.31/x
  3. Step 3: Cross multiply
    138.66x = 202.31 × 202.31
  4. Step 4: Simplify right side
    138.66x = 40,930.35
  5. Step 5: Solve for x
    x = 40,930.35/138.66
  6. Step 6: Final answer
    x = 295.19

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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.