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Finding the Third Proportional to 7,682.80 and 11,865.41

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Solution

The third proportional to 7,682.80 and 11,865.41 is: 18,325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.80 : 11,865.41 = 11,865.41 : x
  2. Step 2: Convert to fraction form
    7,682.80/11,865.41 = 11,865.41/x
  3. Step 3: Cross multiply
    7,682.80x = 11,865.41 × 11,865.41
  4. Step 4: Simplify right side
    7,682.80x = 140,787,958.18
  5. Step 5: Solve for x
    x = 140,787,958.18/7,682.80
  6. Step 6: Final answer
    x = 18,325.08

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Why These Related Problems?

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