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Finding the Third Proportional to 87,664 and 189,167

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Solution

The third proportional to 87,664 and 189,167 is: 408,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,664 : 189,167 = 189,167 : x
  2. Step 2: Convert to fraction form
    87,664/189,167 = 189,167/x
  3. Step 3: Cross multiply
    87,664x = 189,167 × 189,167
  4. Step 4: Simplify right side
    87,664x = 35,784,153,889
  5. Step 5: Solve for x
    x = 35,784,153,889/87,664
  6. Step 6: Final answer
    x = 408,196.68

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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.