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Finding the Third Proportional to 3,995 and 8,619

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Solution

The third proportional to 3,995 and 8,619 is: 18,595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995 : 8,619 = 8,619 : x
  2. Step 2: Convert to fraction form
    3,995/8,619 = 8,619/x
  3. Step 3: Cross multiply
    3,995x = 8,619 × 8,619
  4. Step 4: Simplify right side
    3,995x = 74,287,161
  5. Step 5: Solve for x
    x = 74,287,161/3,995
  6. Step 6: Final answer
    x = 18,595.03

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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.