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Finding the Third Proportional to 392,418 and 831,530

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Solution

The third proportional to 392,418 and 831,530 is: 1,762,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,418 : 831,530 = 831,530 : x
  2. Step 2: Convert to fraction form
    392,418/831,530 = 831,530/x
  3. Step 3: Cross multiply
    392,418x = 831,530 × 831,530
  4. Step 4: Simplify right side
    392,418x = 691,442,140,900
  5. Step 5: Solve for x
    x = 691,442,140,900/392,418
  6. Step 6: Final answer
    x = 1,762,004.14

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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.