Finding the Third Proportional to 20,746.50 and 31,908
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Solution
The third proportional to 20,746.50 and 31,908 is: 49,074.32
Step by Step Solution
- Step 1: Write the proportion equation
20,746.50 : 31,908 = 31,908 : x - Step 2: Convert to fraction form
20,746.50/31,908 = 31,908/x - Step 3: Cross multiply
20,746.50x = 31,908 × 31,908 - Step 4: Simplify right side
20,746.50x = 1,018,120,464 - Step 5: Solve for x
x = 1,018,120,464/20,746.50 - Step 6: Final answer
x = 49,074.32
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.