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Finding the Third Proportional to 447,974 and 693,631

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Solution

The third proportional to 447,974 and 693,631 is: 1,073,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,974 : 693,631 = 693,631 : x
  2. Step 2: Convert to fraction form
    447,974/693,631 = 693,631/x
  3. Step 3: Cross multiply
    447,974x = 693,631 × 693,631
  4. Step 4: Simplify right side
    447,974x = 481,123,964,161
  5. Step 5: Solve for x
    x = 481,123,964,161/447,974
  6. Step 6: Final answer
    x = 1,073,999.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.