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Finding the Third Proportional to 9,419,921 and 20,283,238

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Solution

The third proportional to 9,419,921 and 20,283,238 is: 43,674,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419,921 : 20,283,238 = 20,283,238 : x
  2. Step 2: Convert to fraction form
    9,419,921/20,283,238 = 20,283,238/x
  3. Step 3: Cross multiply
    9,419,921x = 20,283,238 × 20,283,238
  4. Step 4: Simplify right side
    9,419,921x = 411,409,743,764,644
  5. Step 5: Solve for x
    x = 411,409,743,764,644/9,419,921
  6. Step 6: Final answer
    x = 43,674,436.74

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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.