Finding the Third Proportional to 380 and 743
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Solution
The third proportional to 380 and 743 is: 1,452.76
Step by Step Solution
- Step 1: Write the proportion equation
380 : 743 = 743 : x - Step 2: Convert to fraction form
380/743 = 743/x - Step 3: Cross multiply
380x = 743 × 743 - Step 4: Simplify right side
380x = 552,049 - Step 5: Solve for x
x = 552,049/380 - Step 6: Final answer
x = 1,452.76
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These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.