Finding the Third Proportional to 378,268,220 and 821,102,998
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Solution
The third proportional to 378,268,220 and 821,102,998 is: 1,782,359,970.19
Step by Step Solution
- Step 1: Write the proportion equation
378,268,220 : 821,102,998 = 821,102,998 : x - Step 2: Convert to fraction form
378,268,220/821,102,998 = 821,102,998/x - Step 3: Cross multiply
378,268,220x = 821,102,998 × 821,102,998 - Step 4: Simplify right side
378,268,220x = 674,210,133,324,588,032 - Step 5: Solve for x
x = 674,210,133,324,588,032/378,268,220 - Step 6: Final answer
x = 1,782,359,970.19
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.