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Finding the Third Proportional to 297,313 and 619,249

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Solution

The third proportional to 297,313 and 619,249 is: 1,289,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,313 : 619,249 = 619,249 : x
  2. Step 2: Convert to fraction form
    297,313/619,249 = 619,249/x
  3. Step 3: Cross multiply
    297,313x = 619,249 × 619,249
  4. Step 4: Simplify right side
    297,313x = 383,469,324,001
  5. Step 5: Solve for x
    x = 383,469,324,001/297,313
  6. Step 6: Final answer
    x = 1,289,783.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.