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Finding the Third Proportional to 339,936 and 748,512

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Solution

The third proportional to 339,936 and 748,512 is: 1,648,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,936 : 748,512 = 748,512 : x
  2. Step 2: Convert to fraction form
    339,936/748,512 = 748,512/x
  3. Step 3: Cross multiply
    339,936x = 748,512 × 748,512
  4. Step 4: Simplify right side
    339,936x = 560,270,214,144
  5. Step 5: Solve for x
    x = 560,270,214,144/339,936
  6. Step 6: Final answer
    x = 1,648,163.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.