Finding the Third Proportional to 367 and 421
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Solution
The third proportional to 367 and 421 is: 482.95
Step by Step Solution
- Step 1: Write the proportion equation
367 : 421 = 421 : x - Step 2: Convert to fraction form
367/421 = 421/x - Step 3: Cross multiply
367x = 421 × 421 - Step 4: Simplify right side
367x = 177,241 - Step 5: Solve for x
x = 177,241/367 - Step 6: Final answer
x = 482.95
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.