Finding the Third Proportional to 298,970 and 444,197
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Solution
The third proportional to 298,970 and 444,197 is: 659,969.14
Step by Step Solution
- Step 1: Write the proportion equation
298,970 : 444,197 = 444,197 : x - Step 2: Convert to fraction form
298,970/444,197 = 444,197/x - Step 3: Cross multiply
298,970x = 444,197 × 444,197 - Step 4: Simplify right side
298,970x = 197,310,974,809 - Step 5: Solve for x
x = 197,310,974,809/298,970 - Step 6: Final answer
x = 659,969.14
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.