Finding the Third Proportional to 680 and 991
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Solution
The third proportional to 680 and 991 is: 1,444.24
Step by Step Solution
- Step 1: Write the proportion equation
680 : 991 = 991 : x - Step 2: Convert to fraction form
680/991 = 991/x - Step 3: Cross multiply
680x = 991 × 991 - Step 4: Simplify right side
680x = 982,081 - Step 5: Solve for x
x = 982,081/680 - Step 6: Final answer
x = 1,444.24
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.