Finding the Third Proportional to 6 and 9.75
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Solution
The third proportional to 6 and 9.75 is: 15.84
Step by Step Solution
- Step 1: Write the proportion equation
6 : 9.75 = 9.75 : x - Step 2: Convert to fraction form
6/9.75 = 9.75/x - Step 3: Cross multiply
6x = 9.75 × 9.75 - Step 4: Simplify right side
6x = 95.06 - Step 5: Solve for x
x = 95.06/6 - Step 6: Final answer
x = 15.84
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.