Finding the Third Proportional to 497 and 981
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Solution
The third proportional to 497 and 981 is: 1,936.34
Step by Step Solution
- Step 1: Write the proportion equation
497 : 981 = 981 : x - Step 2: Convert to fraction form
497/981 = 981/x - Step 3: Cross multiply
497x = 981 × 981 - Step 4: Simplify right side
497x = 962,361 - Step 5: Solve for x
x = 962,361/497 - Step 6: Final answer
x = 1,936.34
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.