Finding the Third Proportional to 78 and 94.13
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Solution
The third proportional to 78 and 94.13 is: 113.58
Step by Step Solution
- Step 1: Write the proportion equation
78 : 94.13 = 94.13 : x - Step 2: Convert to fraction form
78/94.13 = 94.13/x - Step 3: Cross multiply
78x = 94.13 × 94.13 - Step 4: Simplify right side
78x = 8,859.52 - Step 5: Solve for x
x = 8,859.52/78 - Step 6: Final answer
x = 113.58
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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.