Finding the Third Proportional to 378 and 430
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Solution
The third proportional to 378 and 430 is: 489.15
Step by Step Solution
- Step 1: Write the proportion equation
378 : 430 = 430 : x - Step 2: Convert to fraction form
378/430 = 430/x - Step 3: Cross multiply
378x = 430 × 430 - Step 4: Simplify right side
378x = 184,900 - Step 5: Solve for x
x = 184,900/378 - Step 6: Final answer
x = 489.15
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.