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Finding the Third Proportional to 300,834 and 399,330

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Solution

The third proportional to 300,834 and 399,330 is: 530,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,834 : 399,330 = 399,330 : x
  2. Step 2: Convert to fraction form
    300,834/399,330 = 399,330/x
  3. Step 3: Cross multiply
    300,834x = 399,330 × 399,330
  4. Step 4: Simplify right side
    300,834x = 159,464,448,900
  5. Step 5: Solve for x
    x = 159,464,448,900/300,834
  6. Step 6: Final answer
    x = 530,074.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.