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Finding the Third Proportional to 208,137 and 447,837

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Solution

The third proportional to 208,137 and 447,837 is: 963,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,137 : 447,837 = 447,837 : x
  2. Step 2: Convert to fraction form
    208,137/447,837 = 447,837/x
  3. Step 3: Cross multiply
    208,137x = 447,837 × 447,837
  4. Step 4: Simplify right side
    208,137x = 200,557,978,569
  5. Step 5: Solve for x
    x = 200,557,978,569/208,137
  6. Step 6: Final answer
    x = 963,586.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.