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Finding the Third Proportional to 87,009.38 and 189,998.25

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Solution

The third proportional to 87,009.38 and 189,998.25 is: 414,890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,009.38 : 189,998.25 = 189,998.25 : x
  2. Step 2: Convert to fraction form
    87,009.38/189,998.25 = 189,998.25/x
  3. Step 3: Cross multiply
    87,009.38x = 189,998.25 × 189,998.25
  4. Step 4: Simplify right side
    87,009.38x = 36,099,335,003.06
  5. Step 5: Solve for x
    x = 36,099,335,003.06/87,009.38
  6. Step 6: Final answer
    x = 414,890.18

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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.