Finding the Third Proportional to 280,675.13 and 412,386.19
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Solution
The third proportional to 280,675.13 and 412,386.19 is: 605,904.67
Step by Step Solution
- Step 1: Write the proportion equation
280,675.13 : 412,386.19 = 412,386.19 : x - Step 2: Convert to fraction form
280,675.13/412,386.19 = 412,386.19/x - Step 3: Cross multiply
280,675.13x = 412,386.19 × 412,386.19 - Step 4: Simplify right side
280,675.13x = 170,062,367,640.79 - Step 5: Solve for x
x = 170,062,367,640.79/280,675.13 - Step 6: Final answer
x = 605,904.67
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.