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Finding the Third Proportional to 300,366 and 698,427

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Solution

The third proportional to 300,366 and 698,427 is: 1,624,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,366 : 698,427 = 698,427 : x
  2. Step 2: Convert to fraction form
    300,366/698,427 = 698,427/x
  3. Step 3: Cross multiply
    300,366x = 698,427 × 698,427
  4. Step 4: Simplify right side
    300,366x = 487,800,274,329
  5. Step 5: Solve for x
    x = 487,800,274,329/300,366
  6. Step 6: Final answer
    x = 1,624,019.61

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.