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Finding the Third Proportional to 3,908.06 and 8,439.56

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Solution

The third proportional to 3,908.06 and 8,439.56 is: 18,225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.06 : 8,439.56 = 8,439.56 : x
  2. Step 2: Convert to fraction form
    3,908.06/8,439.56 = 8,439.56/x
  3. Step 3: Cross multiply
    3,908.06x = 8,439.56 × 8,439.56
  4. Step 4: Simplify right side
    3,908.06x = 71,226,215.19
  5. Step 5: Solve for x
    x = 71,226,215.19/3,908.06
  6. Step 6: Final answer
    x = 18,225.45

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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.