Finding the Third Proportional to 287 and 467.50
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Solution
The third proportional to 287 and 467.50 is: 761.52
Step by Step Solution
- Step 1: Write the proportion equation
287 : 467.50 = 467.50 : x - Step 2: Convert to fraction form
287/467.50 = 467.50/x - Step 3: Cross multiply
287x = 467.50 × 467.50 - Step 4: Simplify right side
287x = 218,556.25 - Step 5: Solve for x
x = 218,556.25/287 - Step 6: Final answer
x = 761.52
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Why These Related Problems?
These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.