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Finding the Third Proportional to 193.75 and 256

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Solution

The third proportional to 193.75 and 256 is: 338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.75 : 256 = 256 : x
  2. Step 2: Convert to fraction form
    193.75/256 = 256/x
  3. Step 3: Cross multiply
    193.75x = 256 × 256
  4. Step 4: Simplify right side
    193.75x = 65,536
  5. Step 5: Solve for x
    x = 65,536/193.75
  6. Step 6: Final answer
    x = 338.25

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.