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Finding the Third Proportional to 18,869.50 and 27,755

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Solution

The third proportional to 18,869.50 and 27,755 is: 40,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,869.50 : 27,755 = 27,755 : x
  2. Step 2: Convert to fraction form
    18,869.50/27,755 = 27,755/x
  3. Step 3: Cross multiply
    18,869.50x = 27,755 × 27,755
  4. Step 4: Simplify right side
    18,869.50x = 770,340,025
  5. Step 5: Solve for x
    x = 770,340,025/18,869.50
  6. Step 6: Final answer
    x = 40,824.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.