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Finding the Third Proportional to 392,319.56 and 831,725.44

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Solution

The third proportional to 392,319.56 and 831,725.44 is: 1,763,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,319.56 : 831,725.44 = 831,725.44 : x
  2. Step 2: Convert to fraction form
    392,319.56/831,725.44 = 831,725.44/x
  3. Step 3: Cross multiply
    392,319.56x = 831,725.44 × 831,725.44
  4. Step 4: Simplify right side
    392,319.56x = 691,767,203,384.57
  5. Step 5: Solve for x
    x = 691,767,203,384.57/392,319.56
  6. Step 6: Final answer
    x = 1,763,274.81

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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.