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Finding the Third Proportional to 3,175 and 3,895

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Solution

The third proportional to 3,175 and 3,895 is: 4,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175 : 3,895 = 3,895 : x
  2. Step 2: Convert to fraction form
    3,175/3,895 = 3,895/x
  3. Step 3: Cross multiply
    3,175x = 3,895 × 3,895
  4. Step 4: Simplify right side
    3,175x = 15,171,025
  5. Step 5: Solve for x
    x = 15,171,025/3,175
  6. Step 6: Final answer
    x = 4,778.28

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.