Finding the Third Proportional to 454.25 and 512.75
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Solution
The third proportional to 454.25 and 512.75 is: 578.78
Step by Step Solution
- Step 1: Write the proportion equation
454.25 : 512.75 = 512.75 : x - Step 2: Convert to fraction form
454.25/512.75 = 512.75/x - Step 3: Cross multiply
454.25x = 512.75 × 512.75 - Step 4: Simplify right side
454.25x = 262,912.56 - Step 5: Solve for x
x = 262,912.56/454.25 - Step 6: Final answer
x = 578.78
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.