Finding the Third Proportional to 674 and 1,243
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Solution
The third proportional to 674 and 1,243 is: 2,292.36
Step by Step Solution
- Step 1: Write the proportion equation
674 : 1,243 = 1,243 : x - Step 2: Convert to fraction form
674/1,243 = 1,243/x - Step 3: Cross multiply
674x = 1,243 × 1,243 - Step 4: Simplify right side
674x = 1,545,049 - Step 5: Solve for x
x = 1,545,049/674 - Step 6: Final answer
x = 2,292.36
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Why These Related Problems?
These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.