Finding the Third Proportional to 982 and 1,644
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Solution
The third proportional to 982 and 1,644 is: 2,752.28
Step by Step Solution
- Step 1: Write the proportion equation
982 : 1,644 = 1,644 : x - Step 2: Convert to fraction form
982/1,644 = 1,644/x - Step 3: Cross multiply
982x = 1,644 × 1,644 - Step 4: Simplify right side
982x = 2,702,736 - Step 5: Solve for x
x = 2,702,736/982 - Step 6: Final answer
x = 2,752.28
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.