Finding the Third Proportional to 842 and 961
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Solution
The third proportional to 842 and 961 is: 1,096.82
Step by Step Solution
- Step 1: Write the proportion equation
842 : 961 = 961 : x - Step 2: Convert to fraction form
842/961 = 961/x - Step 3: Cross multiply
842x = 961 × 961 - Step 4: Simplify right side
842x = 923,521 - Step 5: Solve for x
x = 923,521/842 - Step 6: Final answer
x = 1,096.82
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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.