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Finding the Third Proportional to 323,416 and 680,344

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Solution

The third proportional to 323,416 and 680,344 is: 1,431,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,416 : 680,344 = 680,344 : x
  2. Step 2: Convert to fraction form
    323,416/680,344 = 680,344/x
  3. Step 3: Cross multiply
    323,416x = 680,344 × 680,344
  4. Step 4: Simplify right side
    323,416x = 462,867,958,336
  5. Step 5: Solve for x
    x = 462,867,958,336/323,416
  6. Step 6: Final answer
    x = 1,431,184.48

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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.