Finding the Third Proportional to 38,286 and 83,121.75
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Solution
The third proportional to 38,286 and 83,121.75 is: 180,463.49
Step by Step Solution
- Step 1: Write the proportion equation
38,286 : 83,121.75 = 83,121.75 : x - Step 2: Convert to fraction form
38,286/83,121.75 = 83,121.75/x - Step 3: Cross multiply
38,286x = 83,121.75 × 83,121.75 - Step 4: Simplify right side
38,286x = 6,909,225,323.06 - Step 5: Solve for x
x = 6,909,225,323.06/38,286 - Step 6: Final answer
x = 180,463.49
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.