Finding the Third Proportional to 845 and 961
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Solution
The third proportional to 845 and 961 is: 1,092.92
Step by Step Solution
- Step 1: Write the proportion equation
845 : 961 = 961 : x - Step 2: Convert to fraction form
845/961 = 961/x - Step 3: Cross multiply
845x = 961 × 961 - Step 4: Simplify right side
845x = 923,521 - Step 5: Solve for x
x = 923,521/845 - Step 6: Final answer
x = 1,092.92
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Why These Related Problems?
These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.