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Finding the Third Proportional to 3,998.81 and 6,388.59

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Solution

The third proportional to 3,998.81 and 6,388.59 is: 10,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.81 : 6,388.59 = 6,388.59 : x
  2. Step 2: Convert to fraction form
    3,998.81/6,388.59 = 6,388.59/x
  3. Step 3: Cross multiply
    3,998.81x = 6,388.59 × 6,388.59
  4. Step 4: Simplify right side
    3,998.81x = 40,814,130.10
  5. Step 5: Solve for x
    x = 40,814,130.10/3,998.81
  6. Step 6: Final answer
    x = 10,206.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.