Finding the Third Proportional to 1,966.13 and 2,782.13
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Solution
The third proportional to 1,966.13 and 2,782.13 is: 3,936.79
Step by Step Solution
- Step 1: Write the proportion equation
1,966.13 : 2,782.13 = 2,782.13 : x - Step 2: Convert to fraction form
1,966.13/2,782.13 = 2,782.13/x - Step 3: Cross multiply
1,966.13x = 2,782.13 × 2,782.13 - Step 4: Simplify right side
1,966.13x = 7,740,219.52 - Step 5: Solve for x
x = 7,740,219.52/1,966.13 - Step 6: Final answer
x = 3,936.79
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.