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Finding the Third Proportional to 41,044.50 and 89,802

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Solution

The third proportional to 41,044.50 and 89,802 is: 196,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,044.50 : 89,802 = 89,802 : x
  2. Step 2: Convert to fraction form
    41,044.50/89,802 = 89,802/x
  3. Step 3: Cross multiply
    41,044.50x = 89,802 × 89,802
  4. Step 4: Simplify right side
    41,044.50x = 8,064,399,204
  5. Step 5: Solve for x
    x = 8,064,399,204/41,044.50
  6. Step 6: Final answer
    x = 196,479.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.