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Finding the Third Proportional to 149 and 256

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Solution

The third proportional to 149 and 256 is: 439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149 : 256 = 256 : x
  2. Step 2: Convert to fraction form
    149/256 = 256/x
  3. Step 3: Cross multiply
    149x = 256 × 256
  4. Step 4: Simplify right side
    149x = 65,536
  5. Step 5: Solve for x
    x = 65,536/149
  6. Step 6: Final answer
    x = 439.84

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.