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Finding the Third Proportional to 87,664 and 189,336

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Solution

The third proportional to 87,664 and 189,336 is: 408,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,664 : 189,336 = 189,336 : x
  2. Step 2: Convert to fraction form
    87,664/189,336 = 189,336/x
  3. Step 3: Cross multiply
    87,664x = 189,336 × 189,336
  4. Step 4: Simplify right side
    87,664x = 35,848,120,896
  5. Step 5: Solve for x
    x = 35,848,120,896/87,664
  6. Step 6: Final answer
    x = 408,926.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.