Finding the Third Proportional to 169 and 456.50
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Solution
The third proportional to 169 and 456.50 is: 1,233.09
Step by Step Solution
- Step 1: Write the proportion equation
169 : 456.50 = 456.50 : x - Step 2: Convert to fraction form
169/456.50 = 456.50/x - Step 3: Cross multiply
169x = 456.50 × 456.50 - Step 4: Simplify right side
169x = 208,392.25 - Step 5: Solve for x
x = 208,392.25/169 - Step 6: Final answer
x = 1,233.09
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Why These Related Problems?
These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.