Finding the Third Proportional to 431 and 474.50
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Solution
The third proportional to 431 and 474.50 is: 522.39
Step by Step Solution
- Step 1: Write the proportion equation
431 : 474.50 = 474.50 : x - Step 2: Convert to fraction form
431/474.50 = 474.50/x - Step 3: Cross multiply
431x = 474.50 × 474.50 - Step 4: Simplify right side
431x = 225,150.25 - Step 5: Solve for x
x = 225,150.25/431 - Step 6: Final answer
x = 522.39
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.