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Finding the Third Proportional to 174,615 and 381,215

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Solution

The third proportional to 174,615 and 381,215 is: 832,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,615 : 381,215 = 381,215 : x
  2. Step 2: Convert to fraction form
    174,615/381,215 = 381,215/x
  3. Step 3: Cross multiply
    174,615x = 381,215 × 381,215
  4. Step 4: Simplify right side
    174,615x = 145,324,876,225
  5. Step 5: Solve for x
    x = 145,324,876,225/174,615
  6. Step 6: Final answer
    x = 832,258.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.