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Finding the Third Proportional to 87,009 and 189,997

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Solution

The third proportional to 87,009 and 189,997 is: 414,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,009 : 189,997 = 189,997 : x
  2. Step 2: Convert to fraction form
    87,009/189,997 = 189,997/x
  3. Step 3: Cross multiply
    87,009x = 189,997 × 189,997
  4. Step 4: Simplify right side
    87,009x = 36,098,860,009
  5. Step 5: Solve for x
    x = 36,098,860,009/87,009
  6. Step 6: Final answer
    x = 414,886.51

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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.