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Finding the Third Proportional to 392,415.75 and 831,526

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Solution

The third proportional to 392,415.75 and 831,526 is: 1,761,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,415.75 : 831,526 = 831,526 : x
  2. Step 2: Convert to fraction form
    392,415.75/831,526 = 831,526/x
  3. Step 3: Cross multiply
    392,415.75x = 831,526 × 831,526
  4. Step 4: Simplify right side
    392,415.75x = 691,435,488,676
  5. Step 5: Solve for x
    x = 691,435,488,676/392,415.75
  6. Step 6: Final answer
    x = 1,761,997.29

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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.