Finding the Third Proportional to 489 and 953
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Solution
The third proportional to 489 and 953 is: 1,857.28
Step by Step Solution
- Step 1: Write the proportion equation
489 : 953 = 953 : x - Step 2: Convert to fraction form
489/953 = 953/x - Step 3: Cross multiply
489x = 953 × 953 - Step 4: Simplify right side
489x = 908,209 - Step 5: Solve for x
x = 908,209/489 - Step 6: Final answer
x = 1,857.28
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Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.