Finding the Third Proportional to 81,900 and 178,623
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Solution
The third proportional to 81,900 and 178,623 is: 389,574.80
Step by Step Solution
- Step 1: Write the proportion equation
81,900 : 178,623 = 178,623 : x - Step 2: Convert to fraction form
81,900/178,623 = 178,623/x - Step 3: Cross multiply
81,900x = 178,623 × 178,623 - Step 4: Simplify right side
81,900x = 31,906,176,129 - Step 5: Solve for x
x = 31,906,176,129/81,900 - Step 6: Final answer
x = 389,574.80
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.