Finding the Third Proportional to 78,554,949,914.50 and 172,318,542,773
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Solution
The third proportional to 78,554,949,914.50 and 172,318,542,773 is: 377,998,843,048.45
Step by Step Solution
- Step 1: Write the proportion equation
78,554,949,914.50 : 172,318,542,773 = 172,318,542,773 : x - Step 2: Convert to fraction form
78,554,949,914.50/172,318,542,773 = 172,318,542,773/x - Step 3: Cross multiply
78,554,949,914.50x = 172,318,542,773 × 172,318,542,773 - Step 4: Simplify right side
78,554,949,914.50x = 29,693,680,183,410,230,820,864 - Step 5: Solve for x
x = 29,693,680,183,410,230,820,864/78,554,949,914.50 - Step 6: Final answer
x = 377,998,843,048.45
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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.