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Finding the Third Proportional to 87,131 and 189,014

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Solution

The third proportional to 87,131 and 189,014 is: 410,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,131 : 189,014 = 189,014 : x
  2. Step 2: Convert to fraction form
    87,131/189,014 = 189,014/x
  3. Step 3: Cross multiply
    87,131x = 189,014 × 189,014
  4. Step 4: Simplify right side
    87,131x = 35,726,292,196
  5. Step 5: Solve for x
    x = 35,726,292,196/87,131
  6. Step 6: Final answer
    x = 410,029.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.