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Finding the Third Proportional to 2,135 and 4,375

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Solution

The third proportional to 2,135 and 4,375 is: 8,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135 : 4,375 = 4,375 : x
  2. Step 2: Convert to fraction form
    2,135/4,375 = 4,375/x
  3. Step 3: Cross multiply
    2,135x = 4,375 × 4,375
  4. Step 4: Simplify right side
    2,135x = 19,140,625
  5. Step 5: Solve for x
    x = 19,140,625/2,135
  6. Step 6: Final answer
    x = 8,965.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.