Finding the Third Proportional to 454 and 546
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Solution
The third proportional to 454 and 546 is: 656.64
Step by Step Solution
- Step 1: Write the proportion equation
454 : 546 = 546 : x - Step 2: Convert to fraction form
454/546 = 546/x - Step 3: Cross multiply
454x = 546 × 546 - Step 4: Simplify right side
454x = 298,116 - Step 5: Solve for x
x = 298,116/454 - Step 6: Final answer
x = 656.64
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.