Finding the Third Proportional to 26 and 31.38
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Solution
The third proportional to 26 and 31.38 is: 37.86
Step by Step Solution
- Step 1: Write the proportion equation
26 : 31.38 = 31.38 : x - Step 2: Convert to fraction form
26/31.38 = 31.38/x - Step 3: Cross multiply
26x = 31.38 × 31.38 - Step 4: Simplify right side
26x = 984.39 - Step 5: Solve for x
x = 984.39/26 - Step 6: Final answer
x = 37.86
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Why These Related Problems?
These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.