Finding the Third Proportional to 420 and 506
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Solution
The third proportional to 420 and 506 is: 609.61
Step by Step Solution
- Step 1: Write the proportion equation
420 : 506 = 506 : x - Step 2: Convert to fraction form
420/506 = 506/x - Step 3: Cross multiply
420x = 506 × 506 - Step 4: Simplify right side
420x = 256,036 - Step 5: Solve for x
x = 256,036/420 - Step 6: Final answer
x = 609.61
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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.