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Finding the Third Proportional to 17,678 and 38,125

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Solution

The third proportional to 17,678 and 38,125 is: 82,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678 : 38,125 = 38,125 : x
  2. Step 2: Convert to fraction form
    17,678/38,125 = 38,125/x
  3. Step 3: Cross multiply
    17,678x = 38,125 × 38,125
  4. Step 4: Simplify right side
    17,678x = 1,453,515,625
  5. Step 5: Solve for x
    x = 1,453,515,625/17,678
  6. Step 6: Final answer
    x = 82,221.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.