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Finding the Third Proportional to 201 and 255

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Solution

The third proportional to 201 and 255 is: 323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201 : 255 = 255 : x
  2. Step 2: Convert to fraction form
    201/255 = 255/x
  3. Step 3: Cross multiply
    201x = 255 × 255
  4. Step 4: Simplify right side
    201x = 65,025
  5. Step 5: Solve for x
    x = 65,025/201
  6. Step 6: Final answer
    x = 323.51

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.