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Finding the Third Proportional to 8,116.75 and 12,228.25

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Solution

The third proportional to 8,116.75 and 12,228.25 is: 18,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.75 : 12,228.25 = 12,228.25 : x
  2. Step 2: Convert to fraction form
    8,116.75/12,228.25 = 12,228.25/x
  3. Step 3: Cross multiply
    8,116.75x = 12,228.25 × 12,228.25
  4. Step 4: Simplify right side
    8,116.75x = 149,530,098.06
  5. Step 5: Solve for x
    x = 149,530,098.06/8,116.75
  6. Step 6: Final answer
    x = 18,422.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.