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Finding the Third Proportional to 41,194.50 and 87,948

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Solution

The third proportional to 41,194.50 and 87,948 is: 187,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,194.50 : 87,948 = 87,948 : x
  2. Step 2: Convert to fraction form
    41,194.50/87,948 = 87,948/x
  3. Step 3: Cross multiply
    41,194.50x = 87,948 × 87,948
  4. Step 4: Simplify right side
    41,194.50x = 7,734,850,704
  5. Step 5: Solve for x
    x = 7,734,850,704/41,194.50
  6. Step 6: Final answer
    x = 187,764.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.