Finding the Third Proportional to 982 and 1,766
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Solution
The third proportional to 982 and 1,766 is: 3,175.92
Step by Step Solution
- Step 1: Write the proportion equation
982 : 1,766 = 1,766 : x - Step 2: Convert to fraction form
982/1,766 = 1,766/x - Step 3: Cross multiply
982x = 1,766 × 1,766 - Step 4: Simplify right side
982x = 3,118,756 - Step 5: Solve for x
x = 3,118,756/982 - Step 6: Final answer
x = 3,175.92
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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.