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Finding the Third Proportional to 4,100.63 and 8,713.83

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Solution

The third proportional to 4,100.63 and 8,713.83 is: 18,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.63 : 8,713.83 = 8,713.83 : x
  2. Step 2: Convert to fraction form
    4,100.63/8,713.83 = 8,713.83/x
  3. Step 3: Cross multiply
    4,100.63x = 8,713.83 × 8,713.83
  4. Step 4: Simplify right side
    4,100.63x = 75,930,800.59
  5. Step 5: Solve for x
    x = 75,930,800.59/4,100.63
  6. Step 6: Final answer
    x = 18,516.88

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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.