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Finding the Third Proportional to 8,721.75 and 17,907

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Solution

The third proportional to 8,721.75 and 17,907 is: 36,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.75 : 17,907 = 17,907 : x
  2. Step 2: Convert to fraction form
    8,721.75/17,907 = 17,907/x
  3. Step 3: Cross multiply
    8,721.75x = 17,907 × 17,907
  4. Step 4: Simplify right side
    8,721.75x = 320,660,649
  5. Step 5: Solve for x
    x = 320,660,649/8,721.75
  6. Step 6: Final answer
    x = 36,765.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.