Finding the Third Proportional to 193,286 and 289,029
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Solution
The third proportional to 193,286 and 289,029 is: 432,197.69
Step by Step Solution
- Step 1: Write the proportion equation
193,286 : 289,029 = 289,029 : x - Step 2: Convert to fraction form
193,286/289,029 = 289,029/x - Step 3: Cross multiply
193,286x = 289,029 × 289,029 - Step 4: Simplify right side
193,286x = 83,537,762,841 - Step 5: Solve for x
x = 83,537,762,841/193,286 - Step 6: Final answer
x = 432,197.69
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.