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Finding the Third Proportional to 3,772.83 and 8,289.84

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Solution

The third proportional to 3,772.83 and 8,289.84 is: 18,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.83 : 8,289.84 = 8,289.84 : x
  2. Step 2: Convert to fraction form
    3,772.83/8,289.84 = 8,289.84/x
  3. Step 3: Cross multiply
    3,772.83x = 8,289.84 × 8,289.84
  4. Step 4: Simplify right side
    3,772.83x = 68,721,509.40
  5. Step 5: Solve for x
    x = 68,721,509.40/3,772.83
  6. Step 6: Final answer
    x = 18,214.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.