Finding the Third Proportional to 201,806.44 and 312,458.06
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Solution
The third proportional to 201,806.44 and 312,458.06 is: 483,780.61
Step by Step Solution
- Step 1: Write the proportion equation
201,806.44 : 312,458.06 = 312,458.06 : x - Step 2: Convert to fraction form
201,806.44/312,458.06 = 312,458.06/x - Step 3: Cross multiply
201,806.44x = 312,458.06 × 312,458.06 - Step 4: Simplify right side
201,806.44x = 97,630,040,821.25 - Step 5: Solve for x
x = 97,630,040,821.25/201,806.44 - Step 6: Final answer
x = 483,780.61
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.