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Finding the Third Proportional to 3,171 and 6,657

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Solution

The third proportional to 3,171 and 6,657 is: 13,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171 : 6,657 = 6,657 : x
  2. Step 2: Convert to fraction form
    3,171/6,657 = 6,657/x
  3. Step 3: Cross multiply
    3,171x = 6,657 × 6,657
  4. Step 4: Simplify right side
    3,171x = 44,315,649
  5. Step 5: Solve for x
    x = 44,315,649/3,171
  6. Step 6: Final answer
    x = 13,975.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.