Finding the Third Proportional to 74,982.38 and 177,006.94
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Solution
The third proportional to 74,982.38 and 177,006.94 is: 417,850.94
Step by Step Solution
- Step 1: Write the proportion equation
74,982.38 : 177,006.94 = 177,006.94 : x - Step 2: Convert to fraction form
74,982.38/177,006.94 = 177,006.94/x - Step 3: Cross multiply
74,982.38x = 177,006.94 × 177,006.94 - Step 4: Simplify right side
74,982.38x = 31,331,455,923.13 - Step 5: Solve for x
x = 31,331,455,923.13/74,982.38 - Step 6: Final answer
x = 417,850.94
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.