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Finding the Third Proportional to 9,553 and 20,517

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Solution

The third proportional to 9,553 and 20,517 is: 44,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553 : 20,517 = 20,517 : x
  2. Step 2: Convert to fraction form
    9,553/20,517 = 20,517/x
  3. Step 3: Cross multiply
    9,553x = 20,517 × 20,517
  4. Step 4: Simplify right side
    9,553x = 420,947,289
  5. Step 5: Solve for x
    x = 420,947,289/9,553
  6. Step 6: Final answer
    x = 44,064.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.