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Finding the Third Proportional to 87,931 and 189,195

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Solution

The third proportional to 87,931 and 189,195 is: 407,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,931 : 189,195 = 189,195 : x
  2. Step 2: Convert to fraction form
    87,931/189,195 = 189,195/x
  3. Step 3: Cross multiply
    87,931x = 189,195 × 189,195
  4. Step 4: Simplify right side
    87,931x = 35,794,748,025
  5. Step 5: Solve for x
    x = 35,794,748,025/87,931
  6. Step 6: Final answer
    x = 407,077.69

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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.