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Finding the Third Proportional to 8,589 and 13,015.50

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Solution

The third proportional to 8,589 and 13,015.50 is: 19,723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589 : 13,015.50 = 13,015.50 : x
  2. Step 2: Convert to fraction form
    8,589/13,015.50 = 13,015.50/x
  3. Step 3: Cross multiply
    8,589x = 13,015.50 × 13,015.50
  4. Step 4: Simplify right side
    8,589x = 169,403,240.25
  5. Step 5: Solve for x
    x = 169,403,240.25/8,589
  6. Step 6: Final answer
    x = 19,723.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.