Finding the Third Proportional to 827 and 1,268.50
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Solution
The third proportional to 827 and 1,268.50 is: 1,945.70
Step by Step Solution
- Step 1: Write the proportion equation
827 : 1,268.50 = 1,268.50 : x - Step 2: Convert to fraction form
827/1,268.50 = 1,268.50/x - Step 3: Cross multiply
827x = 1,268.50 × 1,268.50 - Step 4: Simplify right side
827x = 1,609,092.25 - Step 5: Solve for x
x = 1,609,092.25/827 - Step 6: Final answer
x = 1,945.70
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.