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Finding the Third Proportional to 253,831 and 380,795

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Solution

The third proportional to 253,831 and 380,795 is: 571,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,831 : 380,795 = 380,795 : x
  2. Step 2: Convert to fraction form
    253,831/380,795 = 380,795/x
  3. Step 3: Cross multiply
    253,831x = 380,795 × 380,795
  4. Step 4: Simplify right side
    253,831x = 145,004,832,025
  5. Step 5: Solve for x
    x = 145,004,832,025/253,831
  6. Step 6: Final answer
    x = 571,265.26

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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.