Finding the Third Proportional to 37 and 54.06
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Solution
The third proportional to 37 and 54.06 is: 78.99
Step by Step Solution
- Step 1: Write the proportion equation
37 : 54.06 = 54.06 : x - Step 2: Convert to fraction form
37/54.06 = 54.06/x - Step 3: Cross multiply
37x = 54.06 × 54.06 - Step 4: Simplify right side
37x = 2,922.75 - Step 5: Solve for x
x = 2,922.75/37 - Step 6: Final answer
x = 78.99
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.