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Finding the Third Proportional to 3,857 and 4,423

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Solution

The third proportional to 3,857 and 4,423 is: 5,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857 : 4,423 = 4,423 : x
  2. Step 2: Convert to fraction form
    3,857/4,423 = 4,423/x
  3. Step 3: Cross multiply
    3,857x = 4,423 × 4,423
  4. Step 4: Simplify right side
    3,857x = 19,562,929
  5. Step 5: Solve for x
    x = 19,562,929/3,857
  6. Step 6: Final answer
    x = 5,072.06

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.