Finding the Third Proportional to 682 and 976.50
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Solution
The third proportional to 682 and 976.50 is: 1,398.17
Step by Step Solution
- Step 1: Write the proportion equation
682 : 976.50 = 976.50 : x - Step 2: Convert to fraction form
682/976.50 = 976.50/x - Step 3: Cross multiply
682x = 976.50 × 976.50 - Step 4: Simplify right side
682x = 953,552.25 - Step 5: Solve for x
x = 953,552.25/682 - Step 6: Final answer
x = 1,398.17
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.