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Finding the Third Proportional to 1,999 and 2,813

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Solution

The third proportional to 1,999 and 2,813 is: 3,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999 : 2,813 = 2,813 : x
  2. Step 2: Convert to fraction form
    1,999/2,813 = 2,813/x
  3. Step 3: Cross multiply
    1,999x = 2,813 × 2,813
  4. Step 4: Simplify right side
    1,999x = 7,912,969
  5. Step 5: Solve for x
    x = 7,912,969/1,999
  6. Step 6: Final answer
    x = 3,958.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.