Finding the Third Proportional to 1,013.44 and 2,129.06
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Solution
The third proportional to 1,013.44 and 2,129.06 is: 4,472.80
Step by Step Solution
- Step 1: Write the proportion equation
1,013.44 : 2,129.06 = 2,129.06 : x - Step 2: Convert to fraction form
1,013.44/2,129.06 = 2,129.06/x - Step 3: Cross multiply
1,013.44x = 2,129.06 × 2,129.06 - Step 4: Simplify right side
1,013.44x = 4,532,907.13 - Step 5: Solve for x
x = 4,532,907.13/1,013.44 - Step 6: Final answer
x = 4,472.80
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.