Finding the Third Proportional to 1,306.13 and 2,764.13
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Solution
The third proportional to 1,306.13 and 2,764.13 is: 5,849.66
Step by Step Solution
- Step 1: Write the proportion equation
1,306.13 : 2,764.13 = 2,764.13 : x - Step 2: Convert to fraction form
1,306.13/2,764.13 = 2,764.13/x - Step 3: Cross multiply
1,306.13x = 2,764.13 × 2,764.13 - Step 4: Simplify right side
1,306.13x = 7,640,387.02 - Step 5: Solve for x
x = 7,640,387.02/1,306.13 - Step 6: Final answer
x = 5,849.66
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.