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Finding the Third Proportional to 3,255 and 7,213

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Solution

The third proportional to 3,255 and 7,213 is: 15,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255 : 7,213 = 7,213 : x
  2. Step 2: Convert to fraction form
    3,255/7,213 = 7,213/x
  3. Step 3: Cross multiply
    3,255x = 7,213 × 7,213
  4. Step 4: Simplify right side
    3,255x = 52,027,369
  5. Step 5: Solve for x
    x = 52,027,369/3,255
  6. Step 6: Final answer
    x = 15,983.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.