Finding the Third Proportional to 997 and 1,970
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Solution
The third proportional to 997 and 1,970 is: 3,892.58
Step by Step Solution
- Step 1: Write the proportion equation
997 : 1,970 = 1,970 : x - Step 2: Convert to fraction form
997/1,970 = 1,970/x - Step 3: Cross multiply
997x = 1,970 × 1,970 - Step 4: Simplify right side
997x = 3,880,900 - Step 5: Solve for x
x = 3,880,900/997 - Step 6: Final answer
x = 3,892.58
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Why These Related Problems?
These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.