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Finding the Third Proportional to 3,601 and 7,875

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Solution

The third proportional to 3,601 and 7,875 is: 17,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601 : 7,875 = 7,875 : x
  2. Step 2: Convert to fraction form
    3,601/7,875 = 7,875/x
  3. Step 3: Cross multiply
    3,601x = 7,875 × 7,875
  4. Step 4: Simplify right side
    3,601x = 62,015,625
  5. Step 5: Solve for x
    x = 62,015,625/3,601
  6. Step 6: Final answer
    x = 17,221.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.