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Finding the Third Proportional to 323,396 and 698,416

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Solution

The third proportional to 323,396 and 698,416 is: 1,508,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,396 : 698,416 = 698,416 : x
  2. Step 2: Convert to fraction form
    323,396/698,416 = 698,416/x
  3. Step 3: Cross multiply
    323,396x = 698,416 × 698,416
  4. Step 4: Simplify right side
    323,396x = 487,784,909,056
  5. Step 5: Solve for x
    x = 487,784,909,056/323,396
  6. Step 6: Final answer
    x = 1,508,320.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.