Finding the Third Proportional to 5,859 and 7,812
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Solution
The third proportional to 5,859 and 7,812 is: 10,416
Step by Step Solution
- Step 1: Write the proportion equation
5,859 : 7,812 = 7,812 : x - Step 2: Convert to fraction form
5,859/7,812 = 7,812/x - Step 3: Cross multiply
5,859x = 7,812 × 7,812 - Step 4: Simplify right side
5,859x = 61,027,344 - Step 5: Solve for x
x = 61,027,344/5,859 - Step 6: Final answer
x = 10,416
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.