Finding the Third Proportional to 1,182 and 1,318
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Solution
The third proportional to 1,182 and 1,318 is: 1,469.65
Step by Step Solution
- Step 1: Write the proportion equation
1,182 : 1,318 = 1,318 : x - Step 2: Convert to fraction form
1,182/1,318 = 1,318/x - Step 3: Cross multiply
1,182x = 1,318 × 1,318 - Step 4: Simplify right side
1,182x = 1,737,124 - Step 5: Solve for x
x = 1,737,124/1,182 - Step 6: Final answer
x = 1,469.65
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.