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Finding the Third Proportional to 392,315 and 831,710

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Solution

The third proportional to 392,315 and 831,710 is: 1,763,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,315 : 831,710 = 831,710 : x
  2. Step 2: Convert to fraction form
    392,315/831,710 = 831,710/x
  3. Step 3: Cross multiply
    392,315x = 831,710 × 831,710
  4. Step 4: Simplify right side
    392,315x = 691,741,524,100
  5. Step 5: Solve for x
    x = 691,741,524,100/392,315
  6. Step 6: Final answer
    x = 1,763,229.86

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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.