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Finding the Third Proportional to 87,925 and 189,171

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Solution

The third proportional to 87,925 and 189,171 is: 407,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,925 : 189,171 = 189,171 : x
  2. Step 2: Convert to fraction form
    87,925/189,171 = 189,171/x
  3. Step 3: Cross multiply
    87,925x = 189,171 × 189,171
  4. Step 4: Simplify right side
    87,925x = 35,785,667,241
  5. Step 5: Solve for x
    x = 35,785,667,241/87,925
  6. Step 6: Final answer
    x = 407,002.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.