Finding the Third Proportional to 217.50 and 578.25
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Solution
The third proportional to 217.50 and 578.25 is: 1,537.35
Step by Step Solution
- Step 1: Write the proportion equation
217.50 : 578.25 = 578.25 : x - Step 2: Convert to fraction form
217.50/578.25 = 578.25/x - Step 3: Cross multiply
217.50x = 578.25 × 578.25 - Step 4: Simplify right side
217.50x = 334,373.06 - Step 5: Solve for x
x = 334,373.06/217.50 - Step 6: Final answer
x = 1,537.35
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Why These Related Problems?
These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.