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Finding the Third Proportional to 11,997 and 18,157.50

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Solution

The third proportional to 11,997 and 18,157.50 is: 27,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997 : 18,157.50 = 18,157.50 : x
  2. Step 2: Convert to fraction form
    11,997/18,157.50 = 18,157.50/x
  3. Step 3: Cross multiply
    11,997x = 18,157.50 × 18,157.50
  4. Step 4: Simplify right side
    11,997x = 329,694,806.25
  5. Step 5: Solve for x
    x = 329,694,806.25/11,997
  6. Step 6: Final answer
    x = 27,481.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.