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Finding the Third Proportional to 100,287 and 220,256

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Solution

The third proportional to 100,287 and 220,256 is: 483,738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,287 : 220,256 = 220,256 : x
  2. Step 2: Convert to fraction form
    100,287/220,256 = 220,256/x
  3. Step 3: Cross multiply
    100,287x = 220,256 × 220,256
  4. Step 4: Simplify right side
    100,287x = 48,512,705,536
  5. Step 5: Solve for x
    x = 48,512,705,536/100,287
  6. Step 6: Final answer
    x = 483,738.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.