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Finding the Third Proportional to 12,122,920 and 18,183,741

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Solution

The third proportional to 12,122,920 and 18,183,741 is: 27,274,653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122,920 : 18,183,741 = 18,183,741 : x
  2. Step 2: Convert to fraction form
    12,122,920/18,183,741 = 18,183,741/x
  3. Step 3: Cross multiply
    12,122,920x = 18,183,741 × 18,183,741
  4. Step 4: Simplify right side
    12,122,920x = 330,648,436,755,081
  5. Step 5: Solve for x
    x = 330,648,436,755,081/12,122,920
  6. Step 6: Final answer
    x = 27,274,653.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.