Finding the Third Proportional to 196,098 and 415,308
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Solution
The third proportional to 196,098 and 415,308 is: 879,563.97
Step by Step Solution
- Step 1: Write the proportion equation
196,098 : 415,308 = 415,308 : x - Step 2: Convert to fraction form
196,098/415,308 = 415,308/x - Step 3: Cross multiply
196,098x = 415,308 × 415,308 - Step 4: Simplify right side
196,098x = 172,480,734,864 - Step 5: Solve for x
x = 172,480,734,864/196,098 - Step 6: Final answer
x = 879,563.97
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.