Finding the Third Proportional to 430 and 462
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Solution
The third proportional to 430 and 462 is: 496.38
Step by Step Solution
- Step 1: Write the proportion equation
430 : 462 = 462 : x - Step 2: Convert to fraction form
430/462 = 462/x - Step 3: Cross multiply
430x = 462 × 462 - Step 4: Simplify right side
430x = 213,444 - Step 5: Solve for x
x = 213,444/430 - Step 6: Final answer
x = 496.38
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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.