Finding the Third Proportional to 189 and 349
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Solution
The third proportional to 189 and 349 is: 644.45
Step by Step Solution
- Step 1: Write the proportion equation
189 : 349 = 349 : x - Step 2: Convert to fraction form
189/349 = 349/x - Step 3: Cross multiply
189x = 349 × 349 - Step 4: Simplify right side
189x = 121,801 - Step 5: Solve for x
x = 121,801/189 - Step 6: Final answer
x = 644.45
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Why These Related Problems?
These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.