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Finding the Third Proportional to 392,320.44 and 831,727.25

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Solution

The third proportional to 392,320.44 and 831,727.25 is: 1,763,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,320.44 : 831,727.25 = 831,727.25 : x
  2. Step 2: Convert to fraction form
    392,320.44/831,727.25 = 831,727.25/x
  3. Step 3: Cross multiply
    392,320.44x = 831,727.25 × 831,727.25
  4. Step 4: Simplify right side
    392,320.44x = 691,770,218,392.56
  5. Step 5: Solve for x
    x = 691,770,218,392.56/392,320.44
  6. Step 6: Final answer
    x = 1,763,278.57

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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.