Finding the Third Proportional to 74 and 195
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Solution
The third proportional to 74 and 195 is: 513.85
Step by Step Solution
- Step 1: Write the proportion equation
74 : 195 = 195 : x - Step 2: Convert to fraction form
74/195 = 195/x - Step 3: Cross multiply
74x = 195 × 195 - Step 4: Simplify right side
74x = 38,025 - Step 5: Solve for x
x = 38,025/74 - Step 6: Final answer
x = 513.85
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These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.