Finding the Third Proportional to 827 and 1,555
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Solution
The third proportional to 827 and 1,555 is: 2,923.85
Step by Step Solution
- Step 1: Write the proportion equation
827 : 1,555 = 1,555 : x - Step 2: Convert to fraction form
827/1,555 = 1,555/x - Step 3: Cross multiply
827x = 1,555 × 1,555 - Step 4: Simplify right side
827x = 2,418,025 - Step 5: Solve for x
x = 2,418,025/827 - Step 6: Final answer
x = 2,923.85
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Why These Related Problems?
These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.