Finding the Third Proportional to 742 and 994.50
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Solution
The third proportional to 742 and 994.50 is: 1,332.92
Step by Step Solution
- Step 1: Write the proportion equation
742 : 994.50 = 994.50 : x - Step 2: Convert to fraction form
742/994.50 = 994.50/x - Step 3: Cross multiply
742x = 994.50 × 994.50 - Step 4: Simplify right side
742x = 989,030.25 - Step 5: Solve for x
x = 989,030.25/742 - Step 6: Final answer
x = 1,332.92
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.