Finding the Third Proportional to 78.75 and 111.38
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Solution
The third proportional to 78.75 and 111.38 is: 157.52
Step by Step Solution
- Step 1: Write the proportion equation
78.75 : 111.38 = 111.38 : x - Step 2: Convert to fraction form
78.75/111.38 = 111.38/x - Step 3: Cross multiply
78.75x = 111.38 × 111.38 - Step 4: Simplify right side
78.75x = 12,404.39 - Step 5: Solve for x
x = 12,404.39/78.75 - Step 6: Final answer
x = 157.52
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.