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Finding the Third Proportional to 87,999 and 116,689

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Solution

The third proportional to 87,999 and 116,689 is: 154,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,999 : 116,689 = 116,689 : x
  2. Step 2: Convert to fraction form
    87,999/116,689 = 116,689/x
  3. Step 3: Cross multiply
    87,999x = 116,689 × 116,689
  4. Step 4: Simplify right side
    87,999x = 13,616,322,721
  5. Step 5: Solve for x
    x = 13,616,322,721/87,999
  6. Step 6: Final answer
    x = 154,732.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.