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Finding the Third Proportional to 7,821,057 and 11,451,603

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Solution

The third proportional to 7,821,057 and 11,451,603 is: 16,767,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821,057 : 11,451,603 = 11,451,603 : x
  2. Step 2: Convert to fraction form
    7,821,057/11,451,603 = 11,451,603/x
  3. Step 3: Cross multiply
    7,821,057x = 11,451,603 × 11,451,603
  4. Step 4: Simplify right side
    7,821,057x = 131,139,211,269,609
  5. Step 5: Solve for x
    x = 131,139,211,269,609/7,821,057
  6. Step 6: Final answer
    x = 16,767,453.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.