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Finding the Third Proportional to 13,377,978 and 20,498,373

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Solution

The third proportional to 13,377,978 and 20,498,373 is: 31,408,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377,978 : 20,498,373 = 20,498,373 : x
  2. Step 2: Convert to fraction form
    13,377,978/20,498,373 = 20,498,373/x
  3. Step 3: Cross multiply
    13,377,978x = 20,498,373 × 20,498,373
  4. Step 4: Simplify right side
    13,377,978x = 420,183,295,647,129
  5. Step 5: Solve for x
    x = 420,183,295,647,129/13,377,978
  6. Step 6: Final answer
    x = 31,408,580.25

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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.