Finding the Third Proportional to 306 and 428
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Solution
The third proportional to 306 and 428 is: 598.64
Step by Step Solution
- Step 1: Write the proportion equation
306 : 428 = 428 : x - Step 2: Convert to fraction form
306/428 = 428/x - Step 3: Cross multiply
306x = 428 × 428 - Step 4: Simplify right side
306x = 183,184 - Step 5: Solve for x
x = 183,184/306 - Step 6: Final answer
x = 598.64
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.