Finding the Third Proportional to 830 and 1,362
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Solution
The third proportional to 830 and 1,362 is: 2,234.99
Step by Step Solution
- Step 1: Write the proportion equation
830 : 1,362 = 1,362 : x - Step 2: Convert to fraction form
830/1,362 = 1,362/x - Step 3: Cross multiply
830x = 1,362 × 1,362 - Step 4: Simplify right side
830x = 1,855,044 - Step 5: Solve for x
x = 1,855,044/830 - Step 6: Final answer
x = 2,234.99
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Why These Related Problems?
These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.