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Finding the Third Proportional to 8,077.85 and 12,125.32

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Solution

The third proportional to 8,077.85 and 12,125.32 is: 18,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.85 : 12,125.32 = 12,125.32 : x
  2. Step 2: Convert to fraction form
    8,077.85/12,125.32 = 12,125.32/x
  3. Step 3: Cross multiply
    8,077.85x = 12,125.32 × 12,125.32
  4. Step 4: Simplify right side
    8,077.85x = 147,023,392.68
  5. Step 5: Solve for x
    x = 147,023,392.68/8,077.85
  6. Step 6: Final answer
    x = 18,200.80

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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.