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Finding the Third Proportional to 3,471 and 7,083

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Solution

The third proportional to 3,471 and 7,083 is: 14,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471 : 7,083 = 7,083 : x
  2. Step 2: Convert to fraction form
    3,471/7,083 = 7,083/x
  3. Step 3: Cross multiply
    3,471x = 7,083 × 7,083
  4. Step 4: Simplify right side
    3,471x = 50,168,889
  5. Step 5: Solve for x
    x = 50,168,889/3,471
  6. Step 6: Final answer
    x = 14,453.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.