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Finding the Third Proportional to 392,317 and 831,714

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Solution

The third proportional to 392,317 and 831,714 is: 1,763,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,317 : 831,714 = 831,714 : x
  2. Step 2: Convert to fraction form
    392,317/831,714 = 831,714/x
  3. Step 3: Cross multiply
    392,317x = 831,714 × 831,714
  4. Step 4: Simplify right side
    392,317x = 691,748,177,796
  5. Step 5: Solve for x
    x = 691,748,177,796/392,317
  6. Step 6: Final answer
    x = 1,763,237.84

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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.