Finding the Third Proportional to 420 and 716
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Solution
The third proportional to 420 and 716 is: 1,220.61
Step by Step Solution
- Step 1: Write the proportion equation
420 : 716 = 716 : x - Step 2: Convert to fraction form
420/716 = 716/x - Step 3: Cross multiply
420x = 716 × 716 - Step 4: Simplify right side
420x = 512,656 - Step 5: Solve for x
x = 512,656/420 - Step 6: Final answer
x = 1,220.61
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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.