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Finding the Third Proportional to 4,020.38 and 8,711.63

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Solution

The third proportional to 4,020.38 and 8,711.63 is: 18,876.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020.38 : 8,711.63 = 8,711.63 : x
  2. Step 2: Convert to fraction form
    4,020.38/8,711.63 = 8,711.63/x
  3. Step 3: Cross multiply
    4,020.38x = 8,711.63 × 8,711.63
  4. Step 4: Simplify right side
    4,020.38x = 75,892,410.14
  5. Step 5: Solve for x
    x = 75,892,410.14/4,020.38
  6. Step 6: Final answer
    x = 18,876.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.