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Finding the Third Proportional to 3,178 and 5,075

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Solution

The third proportional to 3,178 and 5,075 is: 8,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178 : 5,075 = 5,075 : x
  2. Step 2: Convert to fraction form
    3,178/5,075 = 5,075/x
  3. Step 3: Cross multiply
    3,178x = 5,075 × 5,075
  4. Step 4: Simplify right side
    3,178x = 25,755,625
  5. Step 5: Solve for x
    x = 25,755,625/3,178
  6. Step 6: Final answer
    x = 8,104.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.