Finding the Third Proportional to 420 and 616
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Solution
The third proportional to 420 and 616 is: 903.47
Step by Step Solution
- Step 1: Write the proportion equation
420 : 616 = 616 : x - Step 2: Convert to fraction form
420/616 = 616/x - Step 3: Cross multiply
420x = 616 × 616 - Step 4: Simplify right side
420x = 379,456 - Step 5: Solve for x
x = 379,456/420 - Step 6: Final answer
x = 903.47
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.