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Finding the Third Proportional to 81,904 and 115,992

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Solution

The third proportional to 81,904 and 115,992 is: 164,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,904 : 115,992 = 115,992 : x
  2. Step 2: Convert to fraction form
    81,904/115,992 = 115,992/x
  3. Step 3: Cross multiply
    81,904x = 115,992 × 115,992
  4. Step 4: Simplify right side
    81,904x = 13,454,144,064
  5. Step 5: Solve for x
    x = 13,454,144,064/81,904
  6. Step 6: Final answer
    x = 164,267.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.