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Finding the Third Proportional to 19,891.50 and 43,782

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Solution

The third proportional to 19,891.50 and 43,782 is: 96,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.50 : 43,782 = 43,782 : x
  2. Step 2: Convert to fraction form
    19,891.50/43,782 = 43,782/x
  3. Step 3: Cross multiply
    19,891.50x = 43,782 × 43,782
  4. Step 4: Simplify right side
    19,891.50x = 1,916,863,524
  5. Step 5: Solve for x
    x = 1,916,863,524/19,891.50
  6. Step 6: Final answer
    x = 96,365.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.