Finding the Third Proportional to 129 and 232.50
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Solution
The third proportional to 129 and 232.50 is: 419.04
Step by Step Solution
- Step 1: Write the proportion equation
129 : 232.50 = 232.50 : x - Step 2: Convert to fraction form
129/232.50 = 232.50/x - Step 3: Cross multiply
129x = 232.50 × 232.50 - Step 4: Simplify right side
129x = 54,056.25 - Step 5: Solve for x
x = 54,056.25/129 - Step 6: Final answer
x = 419.04
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Why These Related Problems?
These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.