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Finding the Third Proportional to 336,652 and 733,568

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Solution

The third proportional to 336,652 and 733,568 is: 1,598,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,652 : 733,568 = 733,568 : x
  2. Step 2: Convert to fraction form
    336,652/733,568 = 733,568/x
  3. Step 3: Cross multiply
    336,652x = 733,568 × 733,568
  4. Step 4: Simplify right side
    336,652x = 538,122,010,624
  5. Step 5: Solve for x
    x = 538,122,010,624/336,652
  6. Step 6: Final answer
    x = 1,598,451.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.