Finding the Third Proportional to 822 and 910.50
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Solution
The third proportional to 822 and 910.50 is: 1,008.53
Step by Step Solution
- Step 1: Write the proportion equation
822 : 910.50 = 910.50 : x - Step 2: Convert to fraction form
822/910.50 = 910.50/x - Step 3: Cross multiply
822x = 910.50 × 910.50 - Step 4: Simplify right side
822x = 829,010.25 - Step 5: Solve for x
x = 829,010.25/822 - Step 6: Final answer
x = 1,008.53
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.