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Finding the Third Proportional to 3,791.81 and 8,813.81

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Solution

The third proportional to 3,791.81 and 8,813.81 is: 20,487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.81 : 8,813.81 = 8,813.81 : x
  2. Step 2: Convert to fraction form
    3,791.81/8,813.81 = 8,813.81/x
  3. Step 3: Cross multiply
    3,791.81x = 8,813.81 × 8,813.81
  4. Step 4: Simplify right side
    3,791.81x = 77,683,290.79
  5. Step 5: Solve for x
    x = 77,683,290.79/3,791.81
  6. Step 6: Final answer
    x = 20,487.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.