Finding the Third Proportional to 76,461.19 and 177,769.13
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Solution
The third proportional to 76,461.19 and 177,769.13 is: 413,305.92
Step by Step Solution
- Step 1: Write the proportion equation
76,461.19 : 177,769.13 = 177,769.13 : x - Step 2: Convert to fraction form
76,461.19/177,769.13 = 177,769.13/x - Step 3: Cross multiply
76,461.19x = 177,769.13 × 177,769.13 - Step 4: Simplify right side
76,461.19x = 31,601,861,803.27 - Step 5: Solve for x
x = 31,601,861,803.27/76,461.19 - Step 6: Final answer
x = 413,305.92
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.