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Finding the Third Proportional to 3,516 and 7,642

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Solution

The third proportional to 3,516 and 7,642 is: 16,609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516 : 7,642 = 7,642 : x
  2. Step 2: Convert to fraction form
    3,516/7,642 = 7,642/x
  3. Step 3: Cross multiply
    3,516x = 7,642 × 7,642
  4. Step 4: Simplify right side
    3,516x = 58,400,164
  5. Step 5: Solve for x
    x = 58,400,164/3,516
  6. Step 6: Final answer
    x = 16,609.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.