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Finding the Third Proportional to 81,936 and 125,091

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Solution

The third proportional to 81,936 and 125,091 is: 190,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,936 : 125,091 = 125,091 : x
  2. Step 2: Convert to fraction form
    81,936/125,091 = 125,091/x
  3. Step 3: Cross multiply
    81,936x = 125,091 × 125,091
  4. Step 4: Simplify right side
    81,936x = 15,647,758,281
  5. Step 5: Solve for x
    x = 15,647,758,281/81,936
  6. Step 6: Final answer
    x = 190,975.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.