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Finding the Third Proportional to 392,436 and 831,620

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Solution

The third proportional to 392,436 and 831,620 is: 1,762,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,436 : 831,620 = 831,620 : x
  2. Step 2: Convert to fraction form
    392,436/831,620 = 831,620/x
  3. Step 3: Cross multiply
    392,436x = 831,620 × 831,620
  4. Step 4: Simplify right side
    392,436x = 691,591,824,400
  5. Step 5: Solve for x
    x = 691,591,824,400/392,436
  6. Step 6: Final answer
    x = 1,762,304.74

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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.