Finding the Third Proportional to 20,748 and 31,933
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Solution
The third proportional to 20,748 and 31,933 is: 49,147.70
Step by Step Solution
- Step 1: Write the proportion equation
20,748 : 31,933 = 31,933 : x - Step 2: Convert to fraction form
20,748/31,933 = 31,933/x - Step 3: Cross multiply
20,748x = 31,933 × 31,933 - Step 4: Simplify right side
20,748x = 1,019,716,489 - Step 5: Solve for x
x = 1,019,716,489/20,748 - Step 6: Final answer
x = 49,147.70
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.