Finding the Third Proportional to 819 and 966
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Solution
The third proportional to 819 and 966 is: 1,139.38
Step by Step Solution
- Step 1: Write the proportion equation
819 : 966 = 966 : x - Step 2: Convert to fraction form
819/966 = 966/x - Step 3: Cross multiply
819x = 966 × 966 - Step 4: Simplify right side
819x = 933,156 - Step 5: Solve for x
x = 933,156/819 - Step 6: Final answer
x = 1,139.38
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Why These Related Problems?
These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.