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Finding the Third Proportional to 3,847 and 8,426

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Solution

The third proportional to 3,847 and 8,426 is: 18,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847 : 8,426 = 8,426 : x
  2. Step 2: Convert to fraction form
    3,847/8,426 = 8,426/x
  3. Step 3: Cross multiply
    3,847x = 8,426 × 8,426
  4. Step 4: Simplify right side
    3,847x = 70,997,476
  5. Step 5: Solve for x
    x = 70,997,476/3,847
  6. Step 6: Final answer
    x = 18,455.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.