Finding the Third Proportional to 81 and 177.19
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Solution
The third proportional to 81 and 177.19 is: 387.60
Step by Step Solution
- Step 1: Write the proportion equation
81 : 177.19 = 177.19 : x - Step 2: Convert to fraction form
81/177.19 = 177.19/x - Step 3: Cross multiply
81x = 177.19 × 177.19 - Step 4: Simplify right side
81x = 31,395.41 - Step 5: Solve for x
x = 31,395.41/81 - Step 6: Final answer
x = 387.60
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.