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Finding the Third Proportional to 3,818.71 and 8,021.85

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Solution

The third proportional to 3,818.71 and 8,021.85 is: 16,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.71 : 8,021.85 = 8,021.85 : x
  2. Step 2: Convert to fraction form
    3,818.71/8,021.85 = 8,021.85/x
  3. Step 3: Cross multiply
    3,818.71x = 8,021.85 × 8,021.85
  4. Step 4: Simplify right side
    3,818.71x = 64,350,039.82
  5. Step 5: Solve for x
    x = 64,350,039.82/3,818.71
  6. Step 6: Final answer
    x = 16,851.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.