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Finding the Third Proportional to 289,344 and 447,974

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Solution

The third proportional to 289,344 and 447,974 is: 693,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,344 : 447,974 = 447,974 : x
  2. Step 2: Convert to fraction form
    289,344/447,974 = 447,974/x
  3. Step 3: Cross multiply
    289,344x = 447,974 × 447,974
  4. Step 4: Simplify right side
    289,344x = 200,680,704,676
  5. Step 5: Solve for x
    x = 200,680,704,676/289,344
  6. Step 6: Final answer
    x = 693,571.34

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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.