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Finding the Third Proportional to 13,519,749 and 20,620,149

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Solution

The third proportional to 13,519,749 and 20,620,149 is: 31,449,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519,749 : 20,620,149 = 20,620,149 : x
  2. Step 2: Convert to fraction form
    13,519,749/20,620,149 = 20,620,149/x
  3. Step 3: Cross multiply
    13,519,749x = 20,620,149 × 20,620,149
  4. Step 4: Simplify right side
    13,519,749x = 425,190,544,782,201
  5. Step 5: Solve for x
    x = 425,190,544,782,201/13,519,749
  6. Step 6: Final answer
    x = 31,449,588.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.