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Finding the Third Proportional to 18,647 and 40,054

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Solution

The third proportional to 18,647 and 40,054 is: 86,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647 : 40,054 = 40,054 : x
  2. Step 2: Convert to fraction form
    18,647/40,054 = 40,054/x
  3. Step 3: Cross multiply
    18,647x = 40,054 × 40,054
  4. Step 4: Simplify right side
    18,647x = 1,604,322,916
  5. Step 5: Solve for x
    x = 1,604,322,916/18,647
  6. Step 6: Final answer
    x = 86,036.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.