Finding the Third Proportional to 5,102.25 and 7,221.75
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Solution
The third proportional to 5,102.25 and 7,221.75 is: 10,221.70
Step by Step Solution
- Step 1: Write the proportion equation
5,102.25 : 7,221.75 = 7,221.75 : x - Step 2: Convert to fraction form
5,102.25/7,221.75 = 7,221.75/x - Step 3: Cross multiply
5,102.25x = 7,221.75 × 7,221.75 - Step 4: Simplify right side
5,102.25x = 52,153,673.06 - Step 5: Solve for x
x = 52,153,673.06/5,102.25 - Step 6: Final answer
x = 10,221.70
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.