Finding the Third Proportional to 31,138.13 and 47,075.63
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Solution
The third proportional to 31,138.13 and 47,075.63 is: 71,170.45
Step by Step Solution
- Step 1: Write the proportion equation
31,138.13 : 47,075.63 = 47,075.63 : x - Step 2: Convert to fraction form
31,138.13/47,075.63 = 47,075.63/x - Step 3: Cross multiply
31,138.13x = 47,075.63 × 47,075.63 - Step 4: Simplify right side
31,138.13x = 2,216,114,469.14 - Step 5: Solve for x
x = 2,216,114,469.14/31,138.13 - Step 6: Final answer
x = 71,170.45
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.