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Finding the Third Proportional to 2,811 and 4,098

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Solution

The third proportional to 2,811 and 4,098 is: 5,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811 : 4,098 = 4,098 : x
  2. Step 2: Convert to fraction form
    2,811/4,098 = 4,098/x
  3. Step 3: Cross multiply
    2,811x = 4,098 × 4,098
  4. Step 4: Simplify right side
    2,811x = 16,793,604
  5. Step 5: Solve for x
    x = 16,793,604/2,811
  6. Step 6: Final answer
    x = 5,974.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.