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Finding the Third Proportional to 3,980 and 4,826

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Solution

The third proportional to 3,980 and 4,826 is: 5,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980 : 4,826 = 4,826 : x
  2. Step 2: Convert to fraction form
    3,980/4,826 = 4,826/x
  3. Step 3: Cross multiply
    3,980x = 4,826 × 4,826
  4. Step 4: Simplify right side
    3,980x = 23,290,276
  5. Step 5: Solve for x
    x = 23,290,276/3,980
  6. Step 6: Final answer
    x = 5,851.83

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.