Finding the Third Proportional to 983 and 1,055
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Solution
The third proportional to 983 and 1,055 is: 1,132.27
Step by Step Solution
- Step 1: Write the proportion equation
983 : 1,055 = 1,055 : x - Step 2: Convert to fraction form
983/1,055 = 1,055/x - Step 3: Cross multiply
983x = 1,055 × 1,055 - Step 4: Simplify right side
983x = 1,113,025 - Step 5: Solve for x
x = 1,113,025/983 - Step 6: Final answer
x = 1,132.27
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.