Finding the Third Proportional to 257 and 474.50
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Solution
The third proportional to 257 and 474.50 is: 876.07
Step by Step Solution
- Step 1: Write the proportion equation
257 : 474.50 = 474.50 : x - Step 2: Convert to fraction form
257/474.50 = 474.50/x - Step 3: Cross multiply
257x = 474.50 × 474.50 - Step 4: Simplify right side
257x = 225,150.25 - Step 5: Solve for x
x = 225,150.25/257 - Step 6: Final answer
x = 876.07
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Why These Related Problems?
These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.