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Finding the Third Proportional to 3,969.56 and 8,717.06

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Solution

The third proportional to 3,969.56 and 8,717.06 is: 19,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.56 : 8,717.06 = 8,717.06 : x
  2. Step 2: Convert to fraction form
    3,969.56/8,717.06 = 8,717.06/x
  3. Step 3: Cross multiply
    3,969.56x = 8,717.06 × 8,717.06
  4. Step 4: Simplify right side
    3,969.56x = 75,987,178.63
  5. Step 5: Solve for x
    x = 75,987,178.63/3,969.56
  6. Step 6: Final answer
    x = 19,142.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.