Finding the Third Proportional to 420 and 574
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Solution
The third proportional to 420 and 574 is: 784.47
Step by Step Solution
- Step 1: Write the proportion equation
420 : 574 = 574 : x - Step 2: Convert to fraction form
420/574 = 574/x - Step 3: Cross multiply
420x = 574 × 574 - Step 4: Simplify right side
420x = 329,476 - Step 5: Solve for x
x = 329,476/420 - Step 6: Final answer
x = 784.47
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.