Finding the Third Proportional to 982 and 1,057
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Solution
The third proportional to 982 and 1,057 is: 1,137.73
Step by Step Solution
- Step 1: Write the proportion equation
982 : 1,057 = 1,057 : x - Step 2: Convert to fraction form
982/1,057 = 1,057/x - Step 3: Cross multiply
982x = 1,057 × 1,057 - Step 4: Simplify right side
982x = 1,117,249 - Step 5: Solve for x
x = 1,117,249/982 - Step 6: Final answer
x = 1,137.73
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.