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Finding the Third Proportional to 4,163.63 and 8,857.13

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Solution

The third proportional to 4,163.63 and 8,857.13 is: 18,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.63 : 8,857.13 = 8,857.13 : x
  2. Step 2: Convert to fraction form
    4,163.63/8,857.13 = 8,857.13/x
  3. Step 3: Cross multiply
    4,163.63x = 8,857.13 × 8,857.13
  4. Step 4: Simplify right side
    4,163.63x = 78,448,663.27
  5. Step 5: Solve for x
    x = 78,448,663.27/4,163.63
  6. Step 6: Final answer
    x = 18,841.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.