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Finding the Third Proportional to 220.50 and 255.94

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Solution

The third proportional to 220.50 and 255.94 is: 297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.50 : 255.94 = 255.94 : x
  2. Step 2: Convert to fraction form
    220.50/255.94 = 255.94/x
  3. Step 3: Cross multiply
    220.50x = 255.94 × 255.94
  4. Step 4: Simplify right side
    220.50x = 65,504.00
  5. Step 5: Solve for x
    x = 65,504.00/220.50
  6. Step 6: Final answer
    x = 297.07

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.