Finding the Third Proportional to 378 and 570
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Solution
The third proportional to 378 and 570 is: 859.52
Step by Step Solution
- Step 1: Write the proportion equation
378 : 570 = 570 : x - Step 2: Convert to fraction form
378/570 = 570/x - Step 3: Cross multiply
378x = 570 × 570 - Step 4: Simplify right side
378x = 324,900 - Step 5: Solve for x
x = 324,900/378 - Step 6: Final answer
x = 859.52
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.