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Finding the Third Proportional to 3,784 and 7,831

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Solution

The third proportional to 3,784 and 7,831 is: 16,206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784 : 7,831 = 7,831 : x
  2. Step 2: Convert to fraction form
    3,784/7,831 = 7,831/x
  3. Step 3: Cross multiply
    3,784x = 7,831 × 7,831
  4. Step 4: Simplify right side
    3,784x = 61,324,561
  5. Step 5: Solve for x
    x = 61,324,561/3,784
  6. Step 6: Final answer
    x = 16,206.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.