Finding the Third Proportional to 298 and 358.50
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Solution
The third proportional to 298 and 358.50 is: 431.28
Step by Step Solution
- Step 1: Write the proportion equation
298 : 358.50 = 358.50 : x - Step 2: Convert to fraction form
298/358.50 = 358.50/x - Step 3: Cross multiply
298x = 358.50 × 358.50 - Step 4: Simplify right side
298x = 128,522.25 - Step 5: Solve for x
x = 128,522.25/298 - Step 6: Final answer
x = 431.28
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.