Finding the Third Proportional to 240 and 495.50
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Solution
The third proportional to 240 and 495.50 is: 1,023.00
Step by Step Solution
- Step 1: Write the proportion equation
240 : 495.50 = 495.50 : x - Step 2: Convert to fraction form
240/495.50 = 495.50/x - Step 3: Cross multiply
240x = 495.50 × 495.50 - Step 4: Simplify right side
240x = 245,520.25 - Step 5: Solve for x
x = 245,520.25/240 - Step 6: Final answer
x = 1,023.00
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.