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Finding the Third Proportional to 41,204.50 and 89,753

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Solution

The third proportional to 41,204.50 and 89,753 is: 195,502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,204.50 : 89,753 = 89,753 : x
  2. Step 2: Convert to fraction form
    41,204.50/89,753 = 89,753/x
  3. Step 3: Cross multiply
    41,204.50x = 89,753 × 89,753
  4. Step 4: Simplify right side
    41,204.50x = 8,055,601,009
  5. Step 5: Solve for x
    x = 8,055,601,009/41,204.50
  6. Step 6: Final answer
    x = 195,502.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.