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Finding the Third Proportional to 340,638 and 739,234

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Solution

The third proportional to 340,638 and 739,234 is: 1,604,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,638 : 739,234 = 739,234 : x
  2. Step 2: Convert to fraction form
    340,638/739,234 = 739,234/x
  3. Step 3: Cross multiply
    340,638x = 739,234 × 739,234
  4. Step 4: Simplify right side
    340,638x = 546,466,906,756
  5. Step 5: Solve for x
    x = 546,466,906,756/340,638
  6. Step 6: Final answer
    x = 1,604,245.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.