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Finding the Third Proportional to 8,180.37 and 12,259.16

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Solution

The third proportional to 8,180.37 and 12,259.16 is: 18,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.37 : 12,259.16 = 12,259.16 : x
  2. Step 2: Convert to fraction form
    8,180.37/12,259.16 = 12,259.16/x
  3. Step 3: Cross multiply
    8,180.37x = 12,259.16 × 12,259.16
  4. Step 4: Simplify right side
    8,180.37x = 150,287,007.74
  5. Step 5: Solve for x
    x = 150,287,007.74/8,180.37
  6. Step 6: Final answer
    x = 18,371.67

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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.