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Finding the Third Proportional to 3,093 and 3,919.50

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Solution

The third proportional to 3,093 and 3,919.50 is: 4,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093 : 3,919.50 = 3,919.50 : x
  2. Step 2: Convert to fraction form
    3,093/3,919.50 = 3,919.50/x
  3. Step 3: Cross multiply
    3,093x = 3,919.50 × 3,919.50
  4. Step 4: Simplify right side
    3,093x = 15,362,480.25
  5. Step 5: Solve for x
    x = 15,362,480.25/3,093
  6. Step 6: Final answer
    x = 4,966.85

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.