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Finding the Third Proportional to 12,683.25 and 18,974.25

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Solution

The third proportional to 12,683.25 and 18,974.25 is: 28,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.25 : 18,974.25 = 18,974.25 : x
  2. Step 2: Convert to fraction form
    12,683.25/18,974.25 = 18,974.25/x
  3. Step 3: Cross multiply
    12,683.25x = 18,974.25 × 18,974.25
  4. Step 4: Simplify right side
    12,683.25x = 360,022,163.06
  5. Step 5: Solve for x
    x = 360,022,163.06/12,683.25
  6. Step 6: Final answer
    x = 28,385.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.