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Finding the Third Proportional to 3,165.75 and 8,199.56

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Solution

The third proportional to 3,165.75 and 8,199.56 is: 21,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.75 : 8,199.56 = 8,199.56 : x
  2. Step 2: Convert to fraction form
    3,165.75/8,199.56 = 8,199.56/x
  3. Step 3: Cross multiply
    3,165.75x = 8,199.56 × 8,199.56
  4. Step 4: Simplify right side
    3,165.75x = 67,232,825.19
  5. Step 5: Solve for x
    x = 67,232,825.19/3,165.75
  6. Step 6: Final answer
    x = 21,237.57

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.