Finding the Third Proportional to 400 and 922.50
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Solution
The third proportional to 400 and 922.50 is: 2,127.52
Step by Step Solution
- Step 1: Write the proportion equation
400 : 922.50 = 922.50 : x - Step 2: Convert to fraction form
400/922.50 = 922.50/x - Step 3: Cross multiply
400x = 922.50 × 922.50 - Step 4: Simplify right side
400x = 851,006.25 - Step 5: Solve for x
x = 851,006.25/400 - Step 6: Final answer
x = 2,127.52
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.