Finding the Third Proportional to 281,023.13 and 428,537.81
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Solution
The third proportional to 281,023.13 and 428,537.81 is: 653,485.92
Step by Step Solution
- Step 1: Write the proportion equation
281,023.13 : 428,537.81 = 428,537.81 : x - Step 2: Convert to fraction form
281,023.13/428,537.81 = 428,537.81/x - Step 3: Cross multiply
281,023.13x = 428,537.81 × 428,537.81 - Step 4: Simplify right side
281,023.13x = 183,644,656,742.29 - Step 5: Solve for x
x = 183,644,656,742.29/281,023.13 - Step 6: Final answer
x = 653,485.92
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.