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Finding the Third Proportional to 331,351,256 and 518,659,716

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Solution

The third proportional to 331,351,256 and 518,659,716 is: 811,851,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,351,256 : 518,659,716 = 518,659,716 : x
  2. Step 2: Convert to fraction form
    331,351,256/518,659,716 = 518,659,716/x
  3. Step 3: Cross multiply
    331,351,256x = 518,659,716 × 518,659,716
  4. Step 4: Simplify right side
    331,351,256x = 269,007,901,001,200,640
  5. Step 5: Solve for x
    x = 269,007,901,001,200,640/331,351,256
  6. Step 6: Final answer
    x = 811,851,158.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.