Finding the Third Proportional to 370 and 428
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Solution
The third proportional to 370 and 428 is: 495.09
Step by Step Solution
- Step 1: Write the proportion equation
370 : 428 = 428 : x - Step 2: Convert to fraction form
370/428 = 428/x - Step 3: Cross multiply
370x = 428 × 428 - Step 4: Simplify right side
370x = 183,184 - Step 5: Solve for x
x = 183,184/370 - Step 6: Final answer
x = 495.09
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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.