Finding the Third Proportional to 305,542.13 and 399,218.63
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Solution
The third proportional to 305,542.13 and 399,218.63 is: 521,615.51
Step by Step Solution
- Step 1: Write the proportion equation
305,542.13 : 399,218.63 = 399,218.63 : x - Step 2: Convert to fraction form
305,542.13/399,218.63 = 399,218.63/x - Step 3: Cross multiply
305,542.13x = 399,218.63 × 399,218.63 - Step 4: Simplify right side
305,542.13x = 159,375,510,546.89 - Step 5: Solve for x
x = 159,375,510,546.89/305,542.13 - Step 6: Final answer
x = 521,615.51
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Why These Related Problems?
These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.