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Finding the Third Proportional to 4,930 and 6,401

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Solution

The third proportional to 4,930 and 6,401 is: 8,310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930 : 6,401 = 6,401 : x
  2. Step 2: Convert to fraction form
    4,930/6,401 = 6,401/x
  3. Step 3: Cross multiply
    4,930x = 6,401 × 6,401
  4. Step 4: Simplify right side
    4,930x = 40,972,801
  5. Step 5: Solve for x
    x = 40,972,801/4,930
  6. Step 6: Final answer
    x = 8,310.91

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.