Finding the Third Proportional to 516 and 646
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Solution
The third proportional to 516 and 646 is: 808.75
Step by Step Solution
- Step 1: Write the proportion equation
516 : 646 = 646 : x - Step 2: Convert to fraction form
516/646 = 646/x - Step 3: Cross multiply
516x = 646 × 646 - Step 4: Simplify right side
516x = 417,316 - Step 5: Solve for x
x = 417,316/516 - Step 6: Final answer
x = 808.75
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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.