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Finding the Third Proportional to 41,239.50 and 91,956

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Solution

The third proportional to 41,239.50 and 91,956 is: 205,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,239.50 : 91,956 = 91,956 : x
  2. Step 2: Convert to fraction form
    41,239.50/91,956 = 91,956/x
  3. Step 3: Cross multiply
    41,239.50x = 91,956 × 91,956
  4. Step 4: Simplify right side
    41,239.50x = 8,455,905,936
  5. Step 5: Solve for x
    x = 8,455,905,936/41,239.50
  6. Step 6: Final answer
    x = 205,043.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.