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Finding the Third Proportional to 18,229.50 and 39,888

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Solution

The third proportional to 18,229.50 and 39,888 is: 87,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,229.50 : 39,888 = 39,888 : x
  2. Step 2: Convert to fraction form
    18,229.50/39,888 = 39,888/x
  3. Step 3: Cross multiply
    18,229.50x = 39,888 × 39,888
  4. Step 4: Simplify right side
    18,229.50x = 1,591,052,544
  5. Step 5: Solve for x
    x = 1,591,052,544/18,229.50
  6. Step 6: Final answer
    x = 87,279.00

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Why These Related Problems?

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