Finding the Third Proportional to 198,326 and 302,137
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Solution
The third proportional to 198,326 and 302,137 is: 460,286.43
Step by Step Solution
- Step 1: Write the proportion equation
198,326 : 302,137 = 302,137 : x - Step 2: Convert to fraction form
198,326/302,137 = 302,137/x - Step 3: Cross multiply
198,326x = 302,137 × 302,137 - Step 4: Simplify right side
198,326x = 91,286,766,769 - Step 5: Solve for x
x = 91,286,766,769/198,326 - Step 6: Final answer
x = 460,286.43
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.