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Finding the Third Proportional to 392,193 and 831,477

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Solution

The third proportional to 392,193 and 831,477 is: 1,762,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,193 : 831,477 = 831,477 : x
  2. Step 2: Convert to fraction form
    392,193/831,477 = 831,477/x
  3. Step 3: Cross multiply
    392,193x = 831,477 × 831,477
  4. Step 4: Simplify right side
    392,193x = 691,354,001,529
  5. Step 5: Solve for x
    x = 691,354,001,529/392,193
  6. Step 6: Final answer
    x = 1,762,790.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.