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Finding the Third Proportional to 208,198 and 311,725

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Solution

The third proportional to 208,198 and 311,725 is: 466,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,198 : 311,725 = 311,725 : x
  2. Step 2: Convert to fraction form
    208,198/311,725 = 311,725/x
  3. Step 3: Cross multiply
    208,198x = 311,725 × 311,725
  4. Step 4: Simplify right side
    208,198x = 97,172,475,625
  5. Step 5: Solve for x
    x = 97,172,475,625/208,198
  6. Step 6: Final answer
    x = 466,731.07

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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.