Finding the Third Proportional to 632 and 821.50
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Solution
The third proportional to 632 and 821.50 is: 1,067.82
Step by Step Solution
- Step 1: Write the proportion equation
632 : 821.50 = 821.50 : x - Step 2: Convert to fraction form
632/821.50 = 821.50/x - Step 3: Cross multiply
632x = 821.50 × 821.50 - Step 4: Simplify right side
632x = 674,862.25 - Step 5: Solve for x
x = 674,862.25/632 - Step 6: Final answer
x = 1,067.82
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.