Finding the Third Proportional to 427.50 and 790.50
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Solution
The third proportional to 427.50 and 790.50 is: 1,461.73
Step by Step Solution
- Step 1: Write the proportion equation
427.50 : 790.50 = 790.50 : x - Step 2: Convert to fraction form
427.50/790.50 = 790.50/x - Step 3: Cross multiply
427.50x = 790.50 × 790.50 - Step 4: Simplify right side
427.50x = 624,890.25 - Step 5: Solve for x
x = 624,890.25/427.50 - Step 6: Final answer
x = 1,461.73
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Why These Related Problems?
These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.