Finding the Third Proportional to 320 and 457
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Solution
The third proportional to 320 and 457 is: 652.65
Step by Step Solution
- Step 1: Write the proportion equation
320 : 457 = 457 : x - Step 2: Convert to fraction form
320/457 = 457/x - Step 3: Cross multiply
320x = 457 × 457 - Step 4: Simplify right side
320x = 208,849 - Step 5: Solve for x
x = 208,849/320 - Step 6: Final answer
x = 652.65
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.