Finding the Third Proportional to 288 and 348
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Solution
The third proportional to 288 and 348 is: 420.50
Step by Step Solution
- Step 1: Write the proportion equation
288 : 348 = 348 : x - Step 2: Convert to fraction form
288/348 = 348/x - Step 3: Cross multiply
288x = 348 × 348 - Step 4: Simplify right side
288x = 121,104 - Step 5: Solve for x
x = 121,104/288 - Step 6: Final answer
x = 420.50
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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.