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Finding the Third Proportional to 163.75 and 220

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Solution

The third proportional to 163.75 and 220 is: 295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.75 : 220 = 220 : x
  2. Step 2: Convert to fraction form
    163.75/220 = 220/x
  3. Step 3: Cross multiply
    163.75x = 220 × 220
  4. Step 4: Simplify right side
    163.75x = 48,400
  5. Step 5: Solve for x
    x = 48,400/163.75
  6. Step 6: Final answer
    x = 295.57

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.