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Finding the Third Proportional to 3,785.50 and 8,021.75

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Solution

The third proportional to 3,785.50 and 8,021.75 is: 16,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.50 : 8,021.75 = 8,021.75 : x
  2. Step 2: Convert to fraction form
    3,785.50/8,021.75 = 8,021.75/x
  3. Step 3: Cross multiply
    3,785.50x = 8,021.75 × 8,021.75
  4. Step 4: Simplify right side
    3,785.50x = 64,348,473.06
  5. Step 5: Solve for x
    x = 64,348,473.06/3,785.50
  6. Step 6: Final answer
    x = 16,998.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.