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Finding the Third Proportional to 378,268,218 and 821,102,994

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Solution

The third proportional to 378,268,218 and 821,102,994 is: 1,782,359,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,268,218 : 821,102,994 = 821,102,994 : x
  2. Step 2: Convert to fraction form
    378,268,218/821,102,994 = 821,102,994/x
  3. Step 3: Cross multiply
    378,268,218x = 821,102,994 × 821,102,994
  4. Step 4: Simplify right side
    378,268,218x = 674,210,126,755,764,096
  5. Step 5: Solve for x
    x = 674,210,126,755,764,096/378,268,218
  6. Step 6: Final answer
    x = 1,782,359,962.25

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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.