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Finding the Third Proportional to 7,686 and 17,100

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Solution

The third proportional to 7,686 and 17,100 is: 38,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686 : 17,100 = 17,100 : x
  2. Step 2: Convert to fraction form
    7,686/17,100 = 17,100/x
  3. Step 3: Cross multiply
    7,686x = 17,100 × 17,100
  4. Step 4: Simplify right side
    7,686x = 292,410,000
  5. Step 5: Solve for x
    x = 292,410,000/7,686
  6. Step 6: Final answer
    x = 38,044.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.