Finding the Third Proportional to 771 and 991.50
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Solution
The third proportional to 771 and 991.50 is: 1,275.06
Step by Step Solution
- Step 1: Write the proportion equation
771 : 991.50 = 991.50 : x - Step 2: Convert to fraction form
771/991.50 = 991.50/x - Step 3: Cross multiply
771x = 991.50 × 991.50 - Step 4: Simplify right side
771x = 983,072.25 - Step 5: Solve for x
x = 983,072.25/771 - Step 6: Final answer
x = 1,275.06
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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.