Finding the Third Proportional to 19,142.50 and 40,558
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Solution
The third proportional to 19,142.50 and 40,558 is: 85,931.90
Step by Step Solution
- Step 1: Write the proportion equation
19,142.50 : 40,558 = 40,558 : x - Step 2: Convert to fraction form
19,142.50/40,558 = 40,558/x - Step 3: Cross multiply
19,142.50x = 40,558 × 40,558 - Step 4: Simplify right side
19,142.50x = 1,644,951,364 - Step 5: Solve for x
x = 1,644,951,364/19,142.50 - Step 6: Final answer
x = 85,931.90
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.