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Finding the Third Proportional to 3,444 and 7,096

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Solution

The third proportional to 3,444 and 7,096 is: 14,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444 : 7,096 = 7,096 : x
  2. Step 2: Convert to fraction form
    3,444/7,096 = 7,096/x
  3. Step 3: Cross multiply
    3,444x = 7,096 × 7,096
  4. Step 4: Simplify right side
    3,444x = 50,353,216
  5. Step 5: Solve for x
    x = 50,353,216/3,444
  6. Step 6: Final answer
    x = 14,620.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.