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Finding the Third Proportional to 392,329 and 831,745

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Solution

The third proportional to 392,329 and 831,745 is: 1,763,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,329 : 831,745 = 831,745 : x
  2. Step 2: Convert to fraction form
    392,329/831,745 = 831,745/x
  3. Step 3: Cross multiply
    392,329x = 831,745 × 831,745
  4. Step 4: Simplify right side
    392,329x = 691,799,745,025
  5. Step 5: Solve for x
    x = 691,799,745,025/392,329
  6. Step 6: Final answer
    x = 1,763,315.34

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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.