Finding the Third Proportional to 430 and 460
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Solution
The third proportional to 430 and 460 is: 492.09
Step by Step Solution
- Step 1: Write the proportion equation
430 : 460 = 460 : x - Step 2: Convert to fraction form
430/460 = 460/x - Step 3: Cross multiply
430x = 460 × 460 - Step 4: Simplify right side
430x = 211,600 - Step 5: Solve for x
x = 211,600/430 - Step 6: Final answer
x = 492.09
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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.