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Finding the Third Proportional to 208,187 and 447,949

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Solution

The third proportional to 208,187 and 447,949 is: 963,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,187 : 447,949 = 447,949 : x
  2. Step 2: Convert to fraction form
    208,187/447,949 = 447,949/x
  3. Step 3: Cross multiply
    208,187x = 447,949 × 447,949
  4. Step 4: Simplify right side
    208,187x = 200,658,306,601
  5. Step 5: Solve for x
    x = 200,658,306,601/208,187
  6. Step 6: Final answer
    x = 963,836.87

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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.