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Finding the Third Proportional to 1,999.69 and 3,000.38

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Solution

The third proportional to 1,999.69 and 3,000.38 is: 4,501.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.69 : 3,000.38 = 3,000.38 : x
  2. Step 2: Convert to fraction form
    1,999.69/3,000.38 = 3,000.38/x
  3. Step 3: Cross multiply
    1,999.69x = 3,000.38 × 3,000.38
  4. Step 4: Simplify right side
    1,999.69x = 9,002,250.14
  5. Step 5: Solve for x
    x = 9,002,250.14/1,999.69
  6. Step 6: Final answer
    x = 4,501.83

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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.