Finding the Third Proportional to 75.75 and 97.75
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Solution
The third proportional to 75.75 and 97.75 is: 126.14
Step by Step Solution
- Step 1: Write the proportion equation
75.75 : 97.75 = 97.75 : x - Step 2: Convert to fraction form
75.75/97.75 = 97.75/x - Step 3: Cross multiply
75.75x = 97.75 × 97.75 - Step 4: Simplify right side
75.75x = 9,555.06 - Step 5: Solve for x
x = 9,555.06/75.75 - Step 6: Final answer
x = 126.14
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Why These Related Problems?
These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.