Finding the Third Proportional to 1,212.75 and 2,814.19
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Solution
The third proportional to 1,212.75 and 2,814.19 is: 6,530.32
Step by Step Solution
- Step 1: Write the proportion equation
1,212.75 : 2,814.19 = 2,814.19 : x - Step 2: Convert to fraction form
1,212.75/2,814.19 = 2,814.19/x - Step 3: Cross multiply
1,212.75x = 2,814.19 × 2,814.19 - Step 4: Simplify right side
1,212.75x = 7,919,651.29 - Step 5: Solve for x
x = 7,919,651.29/1,212.75 - Step 6: Final answer
x = 6,530.32
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.