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Finding the Third Proportional to 2,171 and 3,102

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Solution

The third proportional to 2,171 and 3,102 is: 4,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171 : 3,102 = 3,102 : x
  2. Step 2: Convert to fraction form
    2,171/3,102 = 3,102/x
  3. Step 3: Cross multiply
    2,171x = 3,102 × 3,102
  4. Step 4: Simplify right side
    2,171x = 9,622,404
  5. Step 5: Solve for x
    x = 9,622,404/2,171
  6. Step 6: Final answer
    x = 4,432.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.