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Finding the Third Proportional to 378,268,229 and 821,103,016

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Solution

The third proportional to 378,268,229 and 821,103,016 is: 1,782,360,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,268,229 : 821,103,016 = 821,103,016 : x
  2. Step 2: Convert to fraction form
    378,268,229/821,103,016 = 821,103,016/x
  3. Step 3: Cross multiply
    378,268,229x = 821,103,016 × 821,103,016
  4. Step 4: Simplify right side
    378,268,229x = 674,210,162,884,296,192
  5. Step 5: Solve for x
    x = 674,210,162,884,296,192/378,268,229
  6. Step 6: Final answer
    x = 1,782,360,005.93

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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.