Finding the Third Proportional to 222.75 and 344.25
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Solution
The third proportional to 222.75 and 344.25 is: 532.02
Step by Step Solution
- Step 1: Write the proportion equation
222.75 : 344.25 = 344.25 : x - Step 2: Convert to fraction form
222.75/344.25 = 344.25/x - Step 3: Cross multiply
222.75x = 344.25 × 344.25 - Step 4: Simplify right side
222.75x = 118,508.06 - Step 5: Solve for x
x = 118,508.06/222.75 - Step 6: Final answer
x = 532.02
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.