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Finding the Third Proportional to 3,898,984.50 and 8,694,471.38

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Solution

The third proportional to 3,898,984.50 and 8,694,471.38 is: 19,388,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898,984.50 : 8,694,471.38 = 8,694,471.38 : x
  2. Step 2: Convert to fraction form
    3,898,984.50/8,694,471.38 = 8,694,471.38/x
  3. Step 3: Cross multiply
    3,898,984.50x = 8,694,471.38 × 8,694,471.38
  4. Step 4: Simplify right side
    3,898,984.50x = 75,593,832,490,694.39
  5. Step 5: Solve for x
    x = 75,593,832,490,694.39/3,898,984.50
  6. Step 6: Final answer
    x = 19,388,082.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.