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Finding the Third Proportional to 392,324 and 831,727

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Solution

The third proportional to 392,324 and 831,727 is: 1,763,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,324 : 831,727 = 831,727 : x
  2. Step 2: Convert to fraction form
    392,324/831,727 = 831,727/x
  3. Step 3: Cross multiply
    392,324x = 831,727 × 831,727
  4. Step 4: Simplify right side
    392,324x = 691,769,802,529
  5. Step 5: Solve for x
    x = 691,769,802,529/392,324
  6. Step 6: Final answer
    x = 1,763,261.49

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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.