Finding the Third Proportional to 320 and 428
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Solution
The third proportional to 320 and 428 is: 572.45
Step by Step Solution
- Step 1: Write the proportion equation
320 : 428 = 428 : x - Step 2: Convert to fraction form
320/428 = 428/x - Step 3: Cross multiply
320x = 428 × 428 - Step 4: Simplify right side
320x = 183,184 - Step 5: Solve for x
x = 183,184/320 - Step 6: Final answer
x = 572.45
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.