Finding the Third Proportional to 646 and 731.50
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Solution
The third proportional to 646 and 731.50 is: 828.32
Step by Step Solution
- Step 1: Write the proportion equation
646 : 731.50 = 731.50 : x - Step 2: Convert to fraction form
646/731.50 = 731.50/x - Step 3: Cross multiply
646x = 731.50 × 731.50 - Step 4: Simplify right side
646x = 535,092.25 - Step 5: Solve for x
x = 535,092.25/646 - Step 6: Final answer
x = 828.32
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.