Finding the Third Proportional to 770 and 860
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Solution
The third proportional to 770 and 860 is: 960.52
Step by Step Solution
- Step 1: Write the proportion equation
770 : 860 = 860 : x - Step 2: Convert to fraction form
770/860 = 860/x - Step 3: Cross multiply
770x = 860 × 860 - Step 4: Simplify right side
770x = 739,600 - Step 5: Solve for x
x = 739,600/770 - Step 6: Final answer
x = 960.52
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.