Finding the Third Proportional to 789 and 993
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Solution
The third proportional to 789 and 993 is: 1,249.75
Step by Step Solution
- Step 1: Write the proportion equation
789 : 993 = 993 : x - Step 2: Convert to fraction form
789/993 = 993/x - Step 3: Cross multiply
789x = 993 × 993 - Step 4: Simplify right side
789x = 986,049 - Step 5: Solve for x
x = 986,049/789 - Step 6: Final answer
x = 1,249.75
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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.