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Finding the Third Proportional to 323,393 and 680,299

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Solution

The third proportional to 323,393 and 680,299 is: 1,431,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,393 : 680,299 = 680,299 : x
  2. Step 2: Convert to fraction form
    323,393/680,299 = 680,299/x
  3. Step 3: Cross multiply
    323,393x = 680,299 × 680,299
  4. Step 4: Simplify right side
    323,393x = 462,806,729,401
  5. Step 5: Solve for x
    x = 462,806,729,401/323,393
  6. Step 6: Final answer
    x = 1,431,096.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.