Finding the Third Proportional to 133.50 and 257
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Solution
The third proportional to 133.50 and 257 is: 494.75
Step by Step Solution
- Step 1: Write the proportion equation
133.50 : 257 = 257 : x - Step 2: Convert to fraction form
133.50/257 = 257/x - Step 3: Cross multiply
133.50x = 257 × 257 - Step 4: Simplify right side
133.50x = 66,049 - Step 5: Solve for x
x = 66,049/133.50 - Step 6: Final answer
x = 494.75
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Why These Related Problems?
These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.