Finding the Third Proportional to 201,138.50 and 298,225.75
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Solution
The third proportional to 201,138.50 and 298,225.75 is: 442,175.90
Step by Step Solution
- Step 1: Write the proportion equation
201,138.50 : 298,225.75 = 298,225.75 : x - Step 2: Convert to fraction form
201,138.50/298,225.75 = 298,225.75/x - Step 3: Cross multiply
201,138.50x = 298,225.75 × 298,225.75 - Step 4: Simplify right side
201,138.50x = 88,938,597,963.06 - Step 5: Solve for x
x = 88,938,597,963.06/201,138.50 - Step 6: Final answer
x = 442,175.90
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.