Finding the Third Proportional to 492 and 814.50
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Solution
The third proportional to 492 and 814.50 is: 1,348.39
Step by Step Solution
- Step 1: Write the proportion equation
492 : 814.50 = 814.50 : x - Step 2: Convert to fraction form
492/814.50 = 814.50/x - Step 3: Cross multiply
492x = 814.50 × 814.50 - Step 4: Simplify right side
492x = 663,410.25 - Step 5: Solve for x
x = 663,410.25/492 - Step 6: Final answer
x = 1,348.39
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Why These Related Problems?
These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.