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Finding the Third Proportional to 3,447 and 5,154.75

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Solution

The third proportional to 3,447 and 5,154.75 is: 7,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447 : 5,154.75 = 5,154.75 : x
  2. Step 2: Convert to fraction form
    3,447/5,154.75 = 5,154.75/x
  3. Step 3: Cross multiply
    3,447x = 5,154.75 × 5,154.75
  4. Step 4: Simplify right side
    3,447x = 26,571,447.56
  5. Step 5: Solve for x
    x = 26,571,447.56/3,447
  6. Step 6: Final answer
    x = 7,708.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.