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Finding the Third Proportional to 447,198 and 664,713

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Solution

The third proportional to 447,198 and 664,713 is: 988,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,198 : 664,713 = 664,713 : x
  2. Step 2: Convert to fraction form
    447,198/664,713 = 664,713/x
  3. Step 3: Cross multiply
    447,198x = 664,713 × 664,713
  4. Step 4: Simplify right side
    447,198x = 441,843,372,369
  5. Step 5: Solve for x
    x = 441,843,372,369/447,198
  6. Step 6: Final answer
    x = 988,026.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.