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Finding the Third Proportional to 2,000.25 and 4,128.44

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Solution

The third proportional to 2,000.25 and 4,128.44 is: 8,520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.25 : 4,128.44 = 4,128.44 : x
  2. Step 2: Convert to fraction form
    2,000.25/4,128.44 = 4,128.44/x
  3. Step 3: Cross multiply
    2,000.25x = 4,128.44 × 4,128.44
  4. Step 4: Simplify right side
    2,000.25x = 17,043,996.19
  5. Step 5: Solve for x
    x = 17,043,996.19/2,000.25
  6. Step 6: Final answer
    x = 8,520.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.