Finding the Third Proportional to 997 and 2,188
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Solution
The third proportional to 997 and 2,188 is: 4,801.75
Step by Step Solution
- Step 1: Write the proportion equation
997 : 2,188 = 2,188 : x - Step 2: Convert to fraction form
997/2,188 = 2,188/x - Step 3: Cross multiply
997x = 2,188 × 2,188 - Step 4: Simplify right side
997x = 4,787,344 - Step 5: Solve for x
x = 4,787,344/997 - Step 6: Final answer
x = 4,801.75
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.