Finding the Third Proportional to 142,858 and 311,114
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Solution
The third proportional to 142,858 and 311,114 is: 677,539.38
Step by Step Solution
- Step 1: Write the proportion equation
142,858 : 311,114 = 311,114 : x - Step 2: Convert to fraction form
142,858/311,114 = 311,114/x - Step 3: Cross multiply
142,858x = 311,114 × 311,114 - Step 4: Simplify right side
142,858x = 96,791,920,996 - Step 5: Solve for x
x = 96,791,920,996/142,858 - Step 6: Final answer
x = 677,539.38
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.