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Finding the Third Proportional to 478,988,256 and 667,351,296

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Solution

The third proportional to 478,988,256 and 667,351,296 is: 929,788,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,988,256 : 667,351,296 = 667,351,296 : x
  2. Step 2: Convert to fraction form
    478,988,256/667,351,296 = 667,351,296/x
  3. Step 3: Cross multiply
    478,988,256x = 667,351,296 × 667,351,296
  4. Step 4: Simplify right side
    478,988,256x = 445,357,752,272,879,616
  5. Step 5: Solve for x
    x = 445,357,752,272,879,616/478,988,256
  6. Step 6: Final answer
    x = 929,788,458.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.