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Finding the Third Proportional to 3,783 and 8,749

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Solution

The third proportional to 3,783 and 8,749 is: 20,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783 : 8,749 = 8,749 : x
  2. Step 2: Convert to fraction form
    3,783/8,749 = 8,749/x
  3. Step 3: Cross multiply
    3,783x = 8,749 × 8,749
  4. Step 4: Simplify right side
    3,783x = 76,545,001
  5. Step 5: Solve for x
    x = 76,545,001/3,783
  6. Step 6: Final answer
    x = 20,233.94

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.