Finding the Third Proportional to 805 and 1,018
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Solution
The third proportional to 805 and 1,018 is: 1,287.36
Step by Step Solution
- Step 1: Write the proportion equation
805 : 1,018 = 1,018 : x - Step 2: Convert to fraction form
805/1,018 = 1,018/x - Step 3: Cross multiply
805x = 1,018 × 1,018 - Step 4: Simplify right side
805x = 1,036,324 - Step 5: Solve for x
x = 1,036,324/805 - Step 6: Final answer
x = 1,287.36
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Why These Related Problems?
These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.