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Finding the Third Proportional to 3,881.81 and 5,487.47

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Solution

The third proportional to 3,881.81 and 5,487.47 is: 7,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.81 : 5,487.47 = 5,487.47 : x
  2. Step 2: Convert to fraction form
    3,881.81/5,487.47 = 5,487.47/x
  3. Step 3: Cross multiply
    3,881.81x = 5,487.47 × 5,487.47
  4. Step 4: Simplify right side
    3,881.81x = 30,112,313.28
  5. Step 5: Solve for x
    x = 30,112,313.28/3,881.81
  6. Step 6: Final answer
    x = 7,757.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.