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Finding the Third Proportional to 87,007 and 189,994

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Solution

The third proportional to 87,007 and 189,994 is: 414,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,007 : 189,994 = 189,994 : x
  2. Step 2: Convert to fraction form
    87,007/189,994 = 189,994/x
  3. Step 3: Cross multiply
    87,007x = 189,994 × 189,994
  4. Step 4: Simplify right side
    87,007x = 36,097,720,036
  5. Step 5: Solve for x
    x = 36,097,720,036/87,007
  6. Step 6: Final answer
    x = 414,882.94

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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.