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Finding the Third Proportional to 3,408.75 and 7,939.69

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Solution

The third proportional to 3,408.75 and 7,939.69 is: 18,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.75 : 7,939.69 = 7,939.69 : x
  2. Step 2: Convert to fraction form
    3,408.75/7,939.69 = 7,939.69/x
  3. Step 3: Cross multiply
    3,408.75x = 7,939.69 × 7,939.69
  4. Step 4: Simplify right side
    3,408.75x = 63,038,637.60
  5. Step 5: Solve for x
    x = 63,038,637.60/3,408.75
  6. Step 6: Final answer
    x = 18,493.18

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.