Finding the Third Proportional to 192 and 420
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Solution
The third proportional to 192 and 420 is: 918.75
Step by Step Solution
- Step 1: Write the proportion equation
192 : 420 = 420 : x - Step 2: Convert to fraction form
192/420 = 420/x - Step 3: Cross multiply
192x = 420 × 420 - Step 4: Simplify right side
192x = 176,400 - Step 5: Solve for x
x = 176,400/192 - Step 6: Final answer
x = 918.75
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.