Finding the Third Proportional to 847 and 983
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Solution
The third proportional to 847 and 983 is: 1,140.84
Step by Step Solution
- Step 1: Write the proportion equation
847 : 983 = 983 : x - Step 2: Convert to fraction form
847/983 = 983/x - Step 3: Cross multiply
847x = 983 × 983 - Step 4: Simplify right side
847x = 966,289 - Step 5: Solve for x
x = 966,289/847 - Step 6: Final answer
x = 1,140.84
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Why These Related Problems?
These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.