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Finding the Third Proportional to 2,811 and 4,343.25

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Solution

The third proportional to 2,811 and 4,343.25 is: 6,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811 : 4,343.25 = 4,343.25 : x
  2. Step 2: Convert to fraction form
    2,811/4,343.25 = 4,343.25/x
  3. Step 3: Cross multiply
    2,811x = 4,343.25 × 4,343.25
  4. Step 4: Simplify right side
    2,811x = 18,863,820.56
  5. Step 5: Solve for x
    x = 18,863,820.56/2,811
  6. Step 6: Final answer
    x = 6,710.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.