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Finding the Third Proportional to 289,869 and 619,542

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Solution

The third proportional to 289,869 and 619,542 is: 1,324,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,869 : 619,542 = 619,542 : x
  2. Step 2: Convert to fraction form
    289,869/619,542 = 619,542/x
  3. Step 3: Cross multiply
    289,869x = 619,542 × 619,542
  4. Step 4: Simplify right side
    289,869x = 383,832,289,764
  5. Step 5: Solve for x
    x = 383,832,289,764/289,869
  6. Step 6: Final answer
    x = 1,324,157.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.