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Finding the Third Proportional to 21,177 and 40,194

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Solution

The third proportional to 21,177 and 40,194 is: 76,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177 : 40,194 = 40,194 : x
  2. Step 2: Convert to fraction form
    21,177/40,194 = 40,194/x
  3. Step 3: Cross multiply
    21,177x = 40,194 × 40,194
  4. Step 4: Simplify right side
    21,177x = 1,615,557,636
  5. Step 5: Solve for x
    x = 1,615,557,636/21,177
  6. Step 6: Final answer
    x = 76,288.31

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.