Finding the Third Proportional to 259 and 289
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Solution
The third proportional to 259 and 289 is: 322.47
Step by Step Solution
- Step 1: Write the proportion equation
259 : 289 = 289 : x - Step 2: Convert to fraction form
259/289 = 289/x - Step 3: Cross multiply
259x = 289 × 289 - Step 4: Simplify right side
259x = 83,521 - Step 5: Solve for x
x = 83,521/259 - Step 6: Final answer
x = 322.47
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.