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Finding the Third Proportional to 3,723 and 8,619

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Solution

The third proportional to 3,723 and 8,619 is: 19,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723 : 8,619 = 8,619 : x
  2. Step 2: Convert to fraction form
    3,723/8,619 = 8,619/x
  3. Step 3: Cross multiply
    3,723x = 8,619 × 8,619
  4. Step 4: Simplify right side
    3,723x = 74,287,161
  5. Step 5: Solve for x
    x = 74,287,161/3,723
  6. Step 6: Final answer
    x = 19,953.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.