Finding the Third Proportional to 198,120 and 415,824
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Solution
The third proportional to 198,120 and 415,824 is: 872,751.86
Step by Step Solution
- Step 1: Write the proportion equation
198,120 : 415,824 = 415,824 : x - Step 2: Convert to fraction form
198,120/415,824 = 415,824/x - Step 3: Cross multiply
198,120x = 415,824 × 415,824 - Step 4: Simplify right side
198,120x = 172,909,598,976 - Step 5: Solve for x
x = 172,909,598,976/198,120 - Step 6: Final answer
x = 872,751.86
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.