Finding the Third Proportional to 269,523 and 422,798
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Solution
The third proportional to 269,523 and 422,798 is: 663,238.94
Step by Step Solution
- Step 1: Write the proportion equation
269,523 : 422,798 = 422,798 : x - Step 2: Convert to fraction form
269,523/422,798 = 422,798/x - Step 3: Cross multiply
269,523x = 422,798 × 422,798 - Step 4: Simplify right side
269,523x = 178,758,148,804 - Step 5: Solve for x
x = 178,758,148,804/269,523 - Step 6: Final answer
x = 663,238.94
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.