Finding the Third Proportional to 50 and 56.75
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Solution
The third proportional to 50 and 56.75 is: 64.41
Step by Step Solution
- Step 1: Write the proportion equation
50 : 56.75 = 56.75 : x - Step 2: Convert to fraction form
50/56.75 = 56.75/x - Step 3: Cross multiply
50x = 56.75 × 56.75 - Step 4: Simplify right side
50x = 3,220.56 - Step 5: Solve for x
x = 3,220.56/50 - Step 6: Final answer
x = 64.41
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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.