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Finding the Third Proportional to 143.81 and 327.48

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Solution

The third proportional to 143.81 and 327.48 is: 745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.81 : 327.48 = 327.48 : x
  2. Step 2: Convert to fraction form
    143.81/327.48 = 327.48/x
  3. Step 3: Cross multiply
    143.81x = 327.48 × 327.48
  4. Step 4: Simplify right side
    143.81x = 107,243.46
  5. Step 5: Solve for x
    x = 107,243.46/143.81
  6. Step 6: Final answer
    x = 745.75

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.