Finding the Third Proportional to 1,981.97 and 3,140.02
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Solution
The third proportional to 1,981.97 and 3,140.02 is: 4,974.70
Step by Step Solution
- Step 1: Write the proportion equation
1,981.97 : 3,140.02 = 3,140.02 : x - Step 2: Convert to fraction form
1,981.97/3,140.02 = 3,140.02/x - Step 3: Cross multiply
1,981.97x = 3,140.02 × 3,140.02 - Step 4: Simplify right side
1,981.97x = 9,859,698.13 - Step 5: Solve for x
x = 9,859,698.13/1,981.97 - Step 6: Final answer
x = 4,974.70
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.