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Finding the Third Proportional to 396,511,772 and 858,923,322

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Solution

The third proportional to 396,511,772 and 858,923,322 is: 1,860,598,663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,511,772 : 858,923,322 = 858,923,322 : x
  2. Step 2: Convert to fraction form
    396,511,772/858,923,322 = 858,923,322/x
  3. Step 3: Cross multiply
    396,511,772x = 858,923,322 × 858,923,322
  4. Step 4: Simplify right side
    396,511,772x = 737,749,273,075,515,648
  5. Step 5: Solve for x
    x = 737,749,273,075,515,648/396,511,772
  6. Step 6: Final answer
    x = 1,860,598,663.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.