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Finding the Third Proportional to 11,728.88 and 18,188.44

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Solution

The third proportional to 11,728.88 and 18,188.44 is: 28,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.88 : 18,188.44 = 18,188.44 : x
  2. Step 2: Convert to fraction form
    11,728.88/18,188.44 = 18,188.44/x
  3. Step 3: Cross multiply
    11,728.88x = 18,188.44 × 18,188.44
  4. Step 4: Simplify right side
    11,728.88x = 330,819,258.69
  5. Step 5: Solve for x
    x = 330,819,258.69/11,728.88
  6. Step 6: Final answer
    x = 28,205.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.