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Finding the Third Proportional to 43,879 and 103,477

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Solution

The third proportional to 43,879 and 103,477 is: 244,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,879 : 103,477 = 103,477 : x
  2. Step 2: Convert to fraction form
    43,879/103,477 = 103,477/x
  3. Step 3: Cross multiply
    43,879x = 103,477 × 103,477
  4. Step 4: Simplify right side
    43,879x = 10,707,489,529
  5. Step 5: Solve for x
    x = 10,707,489,529/43,879
  6. Step 6: Final answer
    x = 244,023.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.