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Finding the Third Proportional to 201,789 and 303,161

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Solution

The third proportional to 201,789 and 303,161 is: 455,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,789 : 303,161 = 303,161 : x
  2. Step 2: Convert to fraction form
    201,789/303,161 = 303,161/x
  3. Step 3: Cross multiply
    201,789x = 303,161 × 303,161
  4. Step 4: Simplify right side
    201,789x = 91,906,591,921
  5. Step 5: Solve for x
    x = 91,906,591,921/201,789
  6. Step 6: Final answer
    x = 455,458.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.