Finding the Third Proportional to 197,969 and 431,671
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Solution
The third proportional to 197,969 and 431,671 is: 941,257.73
Step by Step Solution
- Step 1: Write the proportion equation
197,969 : 431,671 = 431,671 : x - Step 2: Convert to fraction form
197,969/431,671 = 431,671/x - Step 3: Cross multiply
197,969x = 431,671 × 431,671 - Step 4: Simplify right side
197,969x = 186,339,852,241 - Step 5: Solve for x
x = 186,339,852,241/197,969 - Step 6: Final answer
x = 941,257.73
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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.