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Finding the Third Proportional to 378,200,976 and 828,146,496

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Solution

The third proportional to 378,200,976 and 828,146,496 is: 1,813,391,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,200,976 : 828,146,496 = 828,146,496 : x
  2. Step 2: Convert to fraction form
    378,200,976/828,146,496 = 828,146,496/x
  3. Step 3: Cross multiply
    378,200,976x = 828,146,496 × 828,146,496
  4. Step 4: Simplify right side
    378,200,976x = 685,826,618,837,078,016
  5. Step 5: Solve for x
    x = 685,826,618,837,078,016/378,200,976
  6. Step 6: Final answer
    x = 1,813,391,985.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.