Finding the Third Proportional to 378 and 423
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Solution
The third proportional to 378 and 423 is: 473.36
Step by Step Solution
- Step 1: Write the proportion equation
378 : 423 = 423 : x - Step 2: Convert to fraction form
378/423 = 423/x - Step 3: Cross multiply
378x = 423 × 423 - Step 4: Simplify right side
378x = 178,929 - Step 5: Solve for x
x = 178,929/378 - Step 6: Final answer
x = 473.36
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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.