Finding the Third Proportional to 296 and 776
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Solution
The third proportional to 296 and 776 is: 2,034.38
Step by Step Solution
- Step 1: Write the proportion equation
296 : 776 = 776 : x - Step 2: Convert to fraction form
296/776 = 776/x - Step 3: Cross multiply
296x = 776 × 776 - Step 4: Simplify right side
296x = 602,176 - Step 5: Solve for x
x = 602,176/296 - Step 6: Final answer
x = 2,034.38
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These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.