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Finding the Third Proportional to 13,591.13 and 23,847.75

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Solution

The third proportional to 13,591.13 and 23,847.75 is: 41,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,591.13 : 23,847.75 = 23,847.75 : x
  2. Step 2: Convert to fraction form
    13,591.13/23,847.75 = 23,847.75/x
  3. Step 3: Cross multiply
    13,591.13x = 23,847.75 × 23,847.75
  4. Step 4: Simplify right side
    13,591.13x = 568,715,180.06
  5. Step 5: Solve for x
    x = 568,715,180.06/13,591.13
  6. Step 6: Final answer
    x = 41,844.60

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.