Finding the Third Proportional to 5,257 and 10,787
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Solution
The third proportional to 5,257 and 10,787 is: 22,134.18
Step by Step Solution
- Step 1: Write the proportion equation
5,257 : 10,787 = 10,787 : x - Step 2: Convert to fraction form
5,257/10,787 = 10,787/x - Step 3: Cross multiply
5,257x = 10,787 × 10,787 - Step 4: Simplify right side
5,257x = 116,359,369 - Step 5: Solve for x
x = 116,359,369/5,257 - Step 6: Final answer
x = 22,134.18
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.