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Finding the Third Proportional to 392,326 and 831,731

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Solution

The third proportional to 392,326 and 831,731 is: 1,763,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,326 : 831,731 = 831,731 : x
  2. Step 2: Convert to fraction form
    392,326/831,731 = 831,731/x
  3. Step 3: Cross multiply
    392,326x = 831,731 × 831,731
  4. Step 4: Simplify right side
    392,326x = 691,776,456,361
  5. Step 5: Solve for x
    x = 691,776,456,361/392,326
  6. Step 6: Final answer
    x = 1,763,269.47

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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.