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Finding the Third Proportional to 220 and 256.75

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Solution

The third proportional to 220 and 256.75 is: 299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220 : 256.75 = 256.75 : x
  2. Step 2: Convert to fraction form
    220/256.75 = 256.75/x
  3. Step 3: Cross multiply
    220x = 256.75 × 256.75
  4. Step 4: Simplify right side
    220x = 65,920.56
  5. Step 5: Solve for x
    x = 65,920.56/220
  6. Step 6: Final answer
    x = 299.64

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.