Finding the Third Proportional to 6 and 8.53
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Solution
The third proportional to 6 and 8.53 is: 12.13
Step by Step Solution
- Step 1: Write the proportion equation
6 : 8.53 = 8.53 : x - Step 2: Convert to fraction form
6/8.53 = 8.53/x - Step 3: Cross multiply
6x = 8.53 × 8.53 - Step 4: Simplify right side
6x = 72.78 - Step 5: Solve for x
x = 72.78/6 - Step 6: Final answer
x = 12.13
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.