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Finding the Third Proportional to 447,920 and 693,568

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Solution

The third proportional to 447,920 and 693,568 is: 1,073,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,920 : 693,568 = 693,568 : x
  2. Step 2: Convert to fraction form
    447,920/693,568 = 693,568/x
  3. Step 3: Cross multiply
    447,920x = 693,568 × 693,568
  4. Step 4: Simplify right side
    447,920x = 481,036,570,624
  5. Step 5: Solve for x
    x = 481,036,570,624/447,920
  6. Step 6: Final answer
    x = 1,073,934.12

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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.