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Finding the Third Proportional to 163.75 and 218.13

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Solution

The third proportional to 163.75 and 218.13 is: 290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.75 : 218.13 = 218.13 : x
  2. Step 2: Convert to fraction form
    163.75/218.13 = 218.13/x
  3. Step 3: Cross multiply
    163.75x = 218.13 × 218.13
  4. Step 4: Simplify right side
    163.75x = 47,578.52
  5. Step 5: Solve for x
    x = 47,578.52/163.75
  6. Step 6: Final answer
    x = 290.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.