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Finding the Third Proportional to 3,072 and 4,467

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Solution

The third proportional to 3,072 and 4,467 is: 6,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072 : 4,467 = 4,467 : x
  2. Step 2: Convert to fraction form
    3,072/4,467 = 4,467/x
  3. Step 3: Cross multiply
    3,072x = 4,467 × 4,467
  4. Step 4: Simplify right side
    3,072x = 19,954,089
  5. Step 5: Solve for x
    x = 19,954,089/3,072
  6. Step 6: Final answer
    x = 6,495.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.