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Finding the Third Proportional to 8,515.83 and 18,711.84

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Solution

The third proportional to 8,515.83 and 18,711.84 is: 41,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.83 : 18,711.84 = 18,711.84 : x
  2. Step 2: Convert to fraction form
    8,515.83/18,711.84 = 18,711.84/x
  3. Step 3: Cross multiply
    8,515.83x = 18,711.84 × 18,711.84
  4. Step 4: Simplify right side
    8,515.83x = 350,133,096.52
  5. Step 5: Solve for x
    x = 350,133,096.52/8,515.83
  6. Step 6: Final answer
    x = 41,115.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.