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Finding the Third Proportional to 396,505,256 and 858,897,424

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Solution

The third proportional to 396,505,256 and 858,897,424 is: 1,860,517,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,505,256 : 858,897,424 = 858,897,424 : x
  2. Step 2: Convert to fraction form
    396,505,256/858,897,424 = 858,897,424/x
  3. Step 3: Cross multiply
    396,505,256x = 858,897,424 × 858,897,424
  4. Step 4: Simplify right side
    396,505,256x = 737,704,784,953,835,776
  5. Step 5: Solve for x
    x = 737,704,784,953,835,776/396,505,256
  6. Step 6: Final answer
    x = 1,860,517,039.28

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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.