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Finding the Third Proportional to 1,999.69 and 2,961.56

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Solution

The third proportional to 1,999.69 and 2,961.56 is: 4,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.69 : 2,961.56 = 2,961.56 : x
  2. Step 2: Convert to fraction form
    1,999.69/2,961.56 = 2,961.56/x
  3. Step 3: Cross multiply
    1,999.69x = 2,961.56 × 2,961.56
  4. Step 4: Simplify right side
    1,999.69x = 8,770,852.44
  5. Step 5: Solve for x
    x = 8,770,852.44/1,999.69
  6. Step 6: Final answer
    x = 4,386.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.