Finding the Third Proportional to 269,115.75 and 416,427.75
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Solution
The third proportional to 269,115.75 and 416,427.75 is: 644,377.27
Step by Step Solution
- Step 1: Write the proportion equation
269,115.75 : 416,427.75 = 416,427.75 : x - Step 2: Convert to fraction form
269,115.75/416,427.75 = 416,427.75/x - Step 3: Cross multiply
269,115.75x = 416,427.75 × 416,427.75 - Step 4: Simplify right side
269,115.75x = 173,412,070,970.06 - Step 5: Solve for x
x = 173,412,070,970.06/269,115.75 - Step 6: Final answer
x = 644,377.27
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.