Finding the Third Proportional to 31,774 and 62,751
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Solution
The third proportional to 31,774 and 62,751 is: 123,927.99
Step by Step Solution
- Step 1: Write the proportion equation
31,774 : 62,751 = 62,751 : x - Step 2: Convert to fraction form
31,774/62,751 = 62,751/x - Step 3: Cross multiply
31,774x = 62,751 × 62,751 - Step 4: Simplify right side
31,774x = 3,937,688,001 - Step 5: Solve for x
x = 3,937,688,001/31,774 - Step 6: Final answer
x = 123,927.99
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.