Finding the Third Proportional to 5,238 and 6,817
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Solution
The third proportional to 5,238 and 6,817 is: 8,871.99
Step by Step Solution
- Step 1: Write the proportion equation
5,238 : 6,817 = 6,817 : x - Step 2: Convert to fraction form
5,238/6,817 = 6,817/x - Step 3: Cross multiply
5,238x = 6,817 × 6,817 - Step 4: Simplify right side
5,238x = 46,471,489 - Step 5: Solve for x
x = 46,471,489/5,238 - Step 6: Final answer
x = 8,871.99
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Why These Related Problems?
These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.