Finding the Third Proportional to 1,010.25 and 2,202.75
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Solution
The third proportional to 1,010.25 and 2,202.75 is: 4,802.88
Step by Step Solution
- Step 1: Write the proportion equation
1,010.25 : 2,202.75 = 2,202.75 : x - Step 2: Convert to fraction form
1,010.25/2,202.75 = 2,202.75/x - Step 3: Cross multiply
1,010.25x = 2,202.75 × 2,202.75 - Step 4: Simplify right side
1,010.25x = 4,852,107.56 - Step 5: Solve for x
x = 4,852,107.56/1,010.25 - Step 6: Final answer
x = 4,802.88
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.