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Finding the Third Proportional to 392,327 and 831,732

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Solution

The third proportional to 392,327 and 831,732 is: 1,763,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,327 : 831,732 = 831,732 : x
  2. Step 2: Convert to fraction form
    392,327/831,732 = 831,732/x
  3. Step 3: Cross multiply
    392,327x = 831,732 × 831,732
  4. Step 4: Simplify right side
    392,327x = 691,778,119,824
  5. Step 5: Solve for x
    x = 691,778,119,824/392,327
  6. Step 6: Final answer
    x = 1,763,269.21

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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.