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Finding the Third Proportional to 3,783,744 and 8,407,296

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Solution

The third proportional to 3,783,744 and 8,407,296 is: 18,680,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783,744 : 8,407,296 = 8,407,296 : x
  2. Step 2: Convert to fraction form
    3,783,744/8,407,296 = 8,407,296/x
  3. Step 3: Cross multiply
    3,783,744x = 8,407,296 × 8,407,296
  4. Step 4: Simplify right side
    3,783,744x = 70,682,626,031,616
  5. Step 5: Solve for x
    x = 70,682,626,031,616/3,783,744
  6. Step 6: Final answer
    x = 18,680,604.72

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.