Finding the Third Proportional to 378 and 709.50
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Solution
The third proportional to 378 and 709.50 is: 1,331.72
Step by Step Solution
- Step 1: Write the proportion equation
378 : 709.50 = 709.50 : x - Step 2: Convert to fraction form
378/709.50 = 709.50/x - Step 3: Cross multiply
378x = 709.50 × 709.50 - Step 4: Simplify right side
378x = 503,390.25 - Step 5: Solve for x
x = 503,390.25/378 - Step 6: Final answer
x = 1,331.72
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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.