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Finding the Third Proportional to 397,269,387 and 620,043,123

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Solution

The third proportional to 397,269,387 and 620,043,123 is: 967,739,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,269,387 : 620,043,123 = 620,043,123 : x
  2. Step 2: Convert to fraction form
    397,269,387/620,043,123 = 620,043,123/x
  3. Step 3: Cross multiply
    397,269,387x = 620,043,123 × 620,043,123
  4. Step 4: Simplify right side
    397,269,387x = 384,453,474,379,593,152
  5. Step 5: Solve for x
    x = 384,453,474,379,593,152/397,269,387
  6. Step 6: Final answer
    x = 967,739,994.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.