Finding the Third Proportional to 198,168,486 and 414,405,966
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Solution
The third proportional to 198,168,486 and 414,405,966 is: 866,597,450.09
Step by Step Solution
- Step 1: Write the proportion equation
198,168,486 : 414,405,966 = 414,405,966 : x - Step 2: Convert to fraction form
198,168,486/414,405,966 = 414,405,966/x - Step 3: Cross multiply
198,168,486x = 414,405,966 × 414,405,966 - Step 4: Simplify right side
198,168,486x = 171,732,304,656,393,152 - Step 5: Solve for x
x = 171,732,304,656,393,152/198,168,486 - Step 6: Final answer
x = 866,597,450.09
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.