Finding the Third Proportional to 1,306.97 and 1,974.94
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Solution
The third proportional to 1,306.97 and 1,974.94 is: 2,984.29
Step by Step Solution
- Step 1: Write the proportion equation
1,306.97 : 1,974.94 = 1,974.94 : x - Step 2: Convert to fraction form
1,306.97/1,974.94 = 1,974.94/x - Step 3: Cross multiply
1,306.97x = 1,974.94 × 1,974.94 - Step 4: Simplify right side
1,306.97x = 3,900,378.13 - Step 5: Solve for x
x = 3,900,378.13/1,306.97 - Step 6: Final answer
x = 2,984.29
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.