Finding the Third Proportional to 132,814 and 205,647
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Solution
The third proportional to 132,814 and 205,647 is: 318,420.41
Step by Step Solution
- Step 1: Write the proportion equation
132,814 : 205,647 = 205,647 : x - Step 2: Convert to fraction form
132,814/205,647 = 205,647/x - Step 3: Cross multiply
132,814x = 205,647 × 205,647 - Step 4: Simplify right side
132,814x = 42,290,688,609 - Step 5: Solve for x
x = 42,290,688,609/132,814 - Step 6: Final answer
x = 318,420.41
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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.