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Finding the Third Proportional to 3,809 and 4,369

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Solution

The third proportional to 3,809 and 4,369 is: 5,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809 : 4,369 = 4,369 : x
  2. Step 2: Convert to fraction form
    3,809/4,369 = 4,369/x
  3. Step 3: Cross multiply
    3,809x = 4,369 × 4,369
  4. Step 4: Simplify right side
    3,809x = 19,088,161
  5. Step 5: Solve for x
    x = 19,088,161/3,809
  6. Step 6: Final answer
    x = 5,011.33

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.