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Finding the Third Proportional to 8,181 and 19,723.50

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Solution

The third proportional to 8,181 and 19,723.50 is: 47,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181 : 19,723.50 = 19,723.50 : x
  2. Step 2: Convert to fraction form
    8,181/19,723.50 = 19,723.50/x
  3. Step 3: Cross multiply
    8,181x = 19,723.50 × 19,723.50
  4. Step 4: Simplify right side
    8,181x = 389,016,452.25
  5. Step 5: Solve for x
    x = 389,016,452.25/8,181
  6. Step 6: Final answer
    x = 47,551.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.