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Finding the Third Proportional to 8,729,194 and 18,969,322

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Solution

The third proportional to 8,729,194 and 18,969,322 is: 41,222,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729,194 : 18,969,322 = 18,969,322 : x
  2. Step 2: Convert to fraction form
    8,729,194/18,969,322 = 18,969,322/x
  3. Step 3: Cross multiply
    8,729,194x = 18,969,322 × 18,969,322
  4. Step 4: Simplify right side
    8,729,194x = 359,835,177,139,684
  5. Step 5: Solve for x
    x = 359,835,177,139,684/8,729,194
  6. Step 6: Final answer
    x = 41,222,039.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.