Finding the Third Proportional to 428 and 459.50
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Solution
The third proportional to 428 and 459.50 is: 493.32
Step by Step Solution
- Step 1: Write the proportion equation
428 : 459.50 = 459.50 : x - Step 2: Convert to fraction form
428/459.50 = 459.50/x - Step 3: Cross multiply
428x = 459.50 × 459.50 - Step 4: Simplify right side
428x = 211,140.25 - Step 5: Solve for x
x = 211,140.25/428 - Step 6: Final answer
x = 493.32
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.