Finding the Third Proportional to 137 and 369
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Solution
The third proportional to 137 and 369 is: 993.88
Step by Step Solution
- Step 1: Write the proportion equation
137 : 369 = 369 : x - Step 2: Convert to fraction form
137/369 = 369/x - Step 3: Cross multiply
137x = 369 × 369 - Step 4: Simplify right side
137x = 136,161 - Step 5: Solve for x
x = 136,161/137 - Step 6: Final answer
x = 993.88
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Why These Related Problems?
These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.