Finding the Third Proportional to 494 and 570
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Solution
The third proportional to 494 and 570 is: 657.69
Step by Step Solution
- Step 1: Write the proportion equation
494 : 570 = 570 : x - Step 2: Convert to fraction form
494/570 = 570/x - Step 3: Cross multiply
494x = 570 × 570 - Step 4: Simplify right side
494x = 324,900 - Step 5: Solve for x
x = 324,900/494 - Step 6: Final answer
x = 657.69
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.