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Finding the Third Proportional to 140.25 and 213.25

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Solution

The third proportional to 140.25 and 213.25 is: 324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.25 : 213.25 = 213.25 : x
  2. Step 2: Convert to fraction form
    140.25/213.25 = 213.25/x
  3. Step 3: Cross multiply
    140.25x = 213.25 × 213.25
  4. Step 4: Simplify right side
    140.25x = 45,475.56
  5. Step 5: Solve for x
    x = 45,475.56/140.25
  6. Step 6: Final answer
    x = 324.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.