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Finding the Third Proportional to 208,256 and 311,493

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Solution

The third proportional to 208,256 and 311,493 is: 465,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,256 : 311,493 = 311,493 : x
  2. Step 2: Convert to fraction form
    208,256/311,493 = 311,493/x
  3. Step 3: Cross multiply
    208,256x = 311,493 × 311,493
  4. Step 4: Simplify right side
    208,256x = 97,027,889,049
  5. Step 5: Solve for x
    x = 97,027,889,049/208,256
  6. Step 6: Final answer
    x = 465,906.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.