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Finding the Third Proportional to 190,908 and 397,325

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Solution

The third proportional to 190,908 and 397,325 is: 826,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,908 : 397,325 = 397,325 : x
  2. Step 2: Convert to fraction form
    190,908/397,325 = 397,325/x
  3. Step 3: Cross multiply
    190,908x = 397,325 × 397,325
  4. Step 4: Simplify right side
    190,908x = 157,867,155,625
  5. Step 5: Solve for x
    x = 157,867,155,625/190,908
  6. Step 6: Final answer
    x = 826,927.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.