Finding the Third Proportional to 490 and 1,131
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Solution
The third proportional to 490 and 1,131 is: 2,610.53
Step by Step Solution
- Step 1: Write the proportion equation
490 : 1,131 = 1,131 : x - Step 2: Convert to fraction form
490/1,131 = 1,131/x - Step 3: Cross multiply
490x = 1,131 × 1,131 - Step 4: Simplify right side
490x = 1,279,161 - Step 5: Solve for x
x = 1,279,161/490 - Step 6: Final answer
x = 2,610.53
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.