Finding the Third Proportional to 274,131 and 411,197
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Solution
The third proportional to 274,131 and 411,197 is: 616,796.25
Step by Step Solution
- Step 1: Write the proportion equation
274,131 : 411,197 = 411,197 : x - Step 2: Convert to fraction form
274,131/411,197 = 411,197/x - Step 3: Cross multiply
274,131x = 411,197 × 411,197 - Step 4: Simplify right side
274,131x = 169,082,972,809 - Step 5: Solve for x
x = 169,082,972,809/274,131 - Step 6: Final answer
x = 616,796.25
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.