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Finding the Third Proportional to 8,462.25 and 12,891.94

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Solution

The third proportional to 8,462.25 and 12,891.94 is: 19,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.25 : 12,891.94 = 12,891.94 : x
  2. Step 2: Convert to fraction form
    8,462.25/12,891.94 = 12,891.94/x
  3. Step 3: Cross multiply
    8,462.25x = 12,891.94 × 12,891.94
  4. Step 4: Simplify right side
    8,462.25x = 166,202,052.50
  5. Step 5: Solve for x
    x = 166,202,052.50/8,462.25
  6. Step 6: Final answer
    x = 19,640.41

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