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Finding the Third Proportional to 8,188.44 and 12,942.20

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Solution

The third proportional to 8,188.44 and 12,942.20 is: 20,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.44 : 12,942.20 = 12,942.20 : x
  2. Step 2: Convert to fraction form
    8,188.44/12,942.20 = 12,942.20/x
  3. Step 3: Cross multiply
    8,188.44x = 12,942.20 × 12,942.20
  4. Step 4: Simplify right side
    8,188.44x = 167,500,468.48
  5. Step 5: Solve for x
    x = 167,500,468.48/8,188.44
  6. Step 6: Final answer
    x = 20,455.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.