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Finding the Third Proportional to 101.31 and 202.38

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Solution

The third proportional to 101.31 and 202.38 is: 404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.31 : 202.38 = 202.38 : x
  2. Step 2: Convert to fraction form
    101.31/202.38 = 202.38/x
  3. Step 3: Cross multiply
    101.31x = 202.38 × 202.38
  4. Step 4: Simplify right side
    101.31x = 40,955.64
  5. Step 5: Solve for x
    x = 40,955.64/101.31
  6. Step 6: Final answer
    x = 404.25

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.