Finding the Third Proportional to 300 and 363
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Solution
The third proportional to 300 and 363 is: 439.23
Step by Step Solution
- Step 1: Write the proportion equation
300 : 363 = 363 : x - Step 2: Convert to fraction form
300/363 = 363/x - Step 3: Cross multiply
300x = 363 × 363 - Step 4: Simplify right side
300x = 131,769 - Step 5: Solve for x
x = 131,769/300 - Step 6: Final answer
x = 439.23
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Why These Related Problems?
These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.