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Finding the Third Proportional to 8,568 and 13,162.50

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Solution

The third proportional to 8,568 and 13,162.50 is: 20,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568 : 13,162.50 = 13,162.50 : x
  2. Step 2: Convert to fraction form
    8,568/13,162.50 = 13,162.50/x
  3. Step 3: Cross multiply
    8,568x = 13,162.50 × 13,162.50
  4. Step 4: Simplify right side
    8,568x = 173,251,406.25
  5. Step 5: Solve for x
    x = 173,251,406.25/8,568
  6. Step 6: Final answer
    x = 20,220.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.