Finding the Third Proportional to 378,268,227 and 821,103,012
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Solution
The third proportional to 378,268,227 and 821,103,012 is: 1,782,359,997.99
Step by Step Solution
- Step 1: Write the proportion equation
378,268,227 : 821,103,012 = 821,103,012 : x - Step 2: Convert to fraction form
378,268,227/821,103,012 = 821,103,012/x - Step 3: Cross multiply
378,268,227x = 821,103,012 × 821,103,012 - Step 4: Simplify right side
378,268,227x = 674,210,156,315,472,128 - Step 5: Solve for x
x = 674,210,156,315,472,128/378,268,227 - Step 6: Final answer
x = 1,782,359,997.99
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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.