Finding the Third Proportional to 746 and 966.50
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Solution
The third proportional to 746 and 966.50 is: 1,252.17
Step by Step Solution
- Step 1: Write the proportion equation
746 : 966.50 = 966.50 : x - Step 2: Convert to fraction form
746/966.50 = 966.50/x - Step 3: Cross multiply
746x = 966.50 × 966.50 - Step 4: Simplify right side
746x = 934,122.25 - Step 5: Solve for x
x = 934,122.25/746 - Step 6: Final answer
x = 1,252.17
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Why These Related Problems?
These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.