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Finding the Third Proportional to 9,420,966 and 20,407,019

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Solution

The third proportional to 9,420,966 and 20,407,019 is: 44,204,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420,966 : 20,407,019 = 20,407,019 : x
  2. Step 2: Convert to fraction form
    9,420,966/20,407,019 = 20,407,019/x
  3. Step 3: Cross multiply
    9,420,966x = 20,407,019 × 20,407,019
  4. Step 4: Simplify right side
    9,420,966x = 416,446,424,466,361
  5. Step 5: Solve for x
    x = 416,446,424,466,361/9,420,966
  6. Step 6: Final answer
    x = 44,204,216.90

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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.