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Finding the Third Proportional to 3,096 and 4,722.75

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Solution

The third proportional to 3,096 and 4,722.75 is: 7,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096 : 4,722.75 = 4,722.75 : x
  2. Step 2: Convert to fraction form
    3,096/4,722.75 = 4,722.75/x
  3. Step 3: Cross multiply
    3,096x = 4,722.75 × 4,722.75
  4. Step 4: Simplify right side
    3,096x = 22,304,367.56
  5. Step 5: Solve for x
    x = 22,304,367.56/3,096
  6. Step 6: Final answer
    x = 7,204.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.