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Finding the Third Proportional to 392,319 and 831,716

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Solution

The third proportional to 392,319 and 831,716 is: 1,763,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,319 : 831,716 = 831,716 : x
  2. Step 2: Convert to fraction form
    392,319/831,716 = 831,716/x
  3. Step 3: Cross multiply
    392,319x = 831,716 × 831,716
  4. Step 4: Simplify right side
    392,319x = 691,751,504,656
  5. Step 5: Solve for x
    x = 691,751,504,656/392,319
  6. Step 6: Final answer
    x = 1,763,237.33

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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.