Finding the Third Proportional to 822 and 1,492
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Solution
The third proportional to 822 and 1,492 is: 2,708.11
Step by Step Solution
- Step 1: Write the proportion equation
822 : 1,492 = 1,492 : x - Step 2: Convert to fraction form
822/1,492 = 1,492/x - Step 3: Cross multiply
822x = 1,492 × 1,492 - Step 4: Simplify right side
822x = 2,226,064 - Step 5: Solve for x
x = 2,226,064/822 - Step 6: Final answer
x = 2,708.11
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These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.