Finding the Third Proportional to 420 and 546
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Solution
The third proportional to 420 and 546 is: 709.80
Step by Step Solution
- Step 1: Write the proportion equation
420 : 546 = 546 : x - Step 2: Convert to fraction form
420/546 = 546/x - Step 3: Cross multiply
420x = 546 × 546 - Step 4: Simplify right side
420x = 298,116 - Step 5: Solve for x
x = 298,116/420 - Step 6: Final answer
x = 709.80
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.