Finding the Third Proportional to 6 and 7.31
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Solution
The third proportional to 6 and 7.31 is: 8.91
Step by Step Solution
- Step 1: Write the proportion equation
6 : 7.31 = 7.31 : x - Step 2: Convert to fraction form
6/7.31 = 7.31/x - Step 3: Cross multiply
6x = 7.31 × 7.31 - Step 4: Simplify right side
6x = 53.47 - Step 5: Solve for x
x = 53.47/6 - Step 6: Final answer
x = 8.91
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Why These Related Problems?
These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.