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Finding the Third Proportional to 3,072 and 3,396

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Solution

The third proportional to 3,072 and 3,396 is: 3,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072 : 3,396 = 3,396 : x
  2. Step 2: Convert to fraction form
    3,072/3,396 = 3,396/x
  3. Step 3: Cross multiply
    3,072x = 3,396 × 3,396
  4. Step 4: Simplify right side
    3,072x = 11,532,816
  5. Step 5: Solve for x
    x = 11,532,816/3,072
  6. Step 6: Final answer
    x = 3,754.17

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.