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Finding the Third Proportional to 339,872 and 748,336

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Solution

The third proportional to 339,872 and 748,336 is: 1,647,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,872 : 748,336 = 748,336 : x
  2. Step 2: Convert to fraction form
    339,872/748,336 = 748,336/x
  3. Step 3: Cross multiply
    339,872x = 748,336 × 748,336
  4. Step 4: Simplify right side
    339,872x = 560,006,768,896
  5. Step 5: Solve for x
    x = 560,006,768,896/339,872
  6. Step 6: Final answer
    x = 1,647,699.04

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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.