Finding the Third Proportional to 967 and 1,546.50
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Solution
The third proportional to 967 and 1,546.50 is: 2,473.28
Step by Step Solution
- Step 1: Write the proportion equation
967 : 1,546.50 = 1,546.50 : x - Step 2: Convert to fraction form
967/1,546.50 = 1,546.50/x - Step 3: Cross multiply
967x = 1,546.50 × 1,546.50 - Step 4: Simplify right side
967x = 2,391,662.25 - Step 5: Solve for x
x = 2,391,662.25/967 - Step 6: Final answer
x = 2,473.28
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.