Finding the Third Proportional to 406.50 and 817
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Solution
The third proportional to 406.50 and 817 is: 1,642.04
Step by Step Solution
- Step 1: Write the proportion equation
406.50 : 817 = 817 : x - Step 2: Convert to fraction form
406.50/817 = 817/x - Step 3: Cross multiply
406.50x = 817 × 817 - Step 4: Simplify right side
406.50x = 667,489 - Step 5: Solve for x
x = 667,489/406.50 - Step 6: Final answer
x = 1,642.04
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Why These Related Problems?
These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.