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Finding the Third Proportional to 381,828 and 831,624

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Solution

The third proportional to 381,828 and 831,624 is: 1,811,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,828 : 831,624 = 831,624 : x
  2. Step 2: Convert to fraction form
    381,828/831,624 = 831,624/x
  3. Step 3: Cross multiply
    381,828x = 831,624 × 831,624
  4. Step 4: Simplify right side
    381,828x = 691,598,477,376
  5. Step 5: Solve for x
    x = 691,598,477,376/381,828
  6. Step 6: Final answer
    x = 1,811,282.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.