Finding the Third Proportional to 512 and 646
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Solution
The third proportional to 512 and 646 is: 815.07
Step by Step Solution
- Step 1: Write the proportion equation
512 : 646 = 646 : x - Step 2: Convert to fraction form
512/646 = 646/x - Step 3: Cross multiply
512x = 646 × 646 - Step 4: Simplify right side
512x = 417,316 - Step 5: Solve for x
x = 417,316/512 - Step 6: Final answer
x = 815.07
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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.