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Finding the Third Proportional to 6,638 and 15,634

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Solution

The third proportional to 6,638 and 15,634 is: 36,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638 : 15,634 = 15,634 : x
  2. Step 2: Convert to fraction form
    6,638/15,634 = 15,634/x
  3. Step 3: Cross multiply
    6,638x = 15,634 × 15,634
  4. Step 4: Simplify right side
    6,638x = 244,421,956
  5. Step 5: Solve for x
    x = 244,421,956/6,638
  6. Step 6: Final answer
    x = 36,821.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.