Finding the Third Proportional to 982.50 and 2,652
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Solution
The third proportional to 982.50 and 2,652 is: 7,158.38
Step by Step Solution
- Step 1: Write the proportion equation
982.50 : 2,652 = 2,652 : x - Step 2: Convert to fraction form
982.50/2,652 = 2,652/x - Step 3: Cross multiply
982.50x = 2,652 × 2,652 - Step 4: Simplify right side
982.50x = 7,033,104 - Step 5: Solve for x
x = 7,033,104/982.50 - Step 6: Final answer
x = 7,158.38
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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.