Finding the Third Proportional to 120,316 and 137,812
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Solution
The third proportional to 120,316 and 137,812 is: 157,852.22
Step by Step Solution
- Step 1: Write the proportion equation
120,316 : 137,812 = 137,812 : x - Step 2: Convert to fraction form
120,316/137,812 = 137,812/x - Step 3: Cross multiply
120,316x = 137,812 × 137,812 - Step 4: Simplify right side
120,316x = 18,992,147,344 - Step 5: Solve for x
x = 18,992,147,344/120,316 - Step 6: Final answer
x = 157,852.22
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.