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Finding the Third Proportional to 159,831 and 355,134

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Solution

The third proportional to 159,831 and 355,134 is: 789,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,831 : 355,134 = 355,134 : x
  2. Step 2: Convert to fraction form
    159,831/355,134 = 355,134/x
  3. Step 3: Cross multiply
    159,831x = 355,134 × 355,134
  4. Step 4: Simplify right side
    159,831x = 126,120,157,956
  5. Step 5: Solve for x
    x = 126,120,157,956/159,831
  6. Step 6: Final answer
    x = 789,084.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.