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Finding the Third Proportional to 3,725 and 8,125

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Solution

The third proportional to 3,725 and 8,125 is: 17,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725 : 8,125 = 8,125 : x
  2. Step 2: Convert to fraction form
    3,725/8,125 = 8,125/x
  3. Step 3: Cross multiply
    3,725x = 8,125 × 8,125
  4. Step 4: Simplify right side
    3,725x = 66,015,625
  5. Step 5: Solve for x
    x = 66,015,625/3,725
  6. Step 6: Final answer
    x = 17,722.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.