Finding the Third Proportional to 406 and 503
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Solution
The third proportional to 406 and 503 is: 623.17
Step by Step Solution
- Step 1: Write the proportion equation
406 : 503 = 503 : x - Step 2: Convert to fraction form
406/503 = 503/x - Step 3: Cross multiply
406x = 503 × 503 - Step 4: Simplify right side
406x = 253,009 - Step 5: Solve for x
x = 253,009/406 - Step 6: Final answer
x = 623.17
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Why These Related Problems?
These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.