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Finding the Third Proportional to 7,642 and 16,517

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Solution

The third proportional to 7,642 and 16,517 is: 35,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642 : 16,517 = 16,517 : x
  2. Step 2: Convert to fraction form
    7,642/16,517 = 16,517/x
  3. Step 3: Cross multiply
    7,642x = 16,517 × 16,517
  4. Step 4: Simplify right side
    7,642x = 272,811,289
  5. Step 5: Solve for x
    x = 272,811,289/7,642
  6. Step 6: Final answer
    x = 35,698.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.