Finding the Third Proportional to 279 and 297
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Solution
The third proportional to 279 and 297 is: 316.16
Step by Step Solution
- Step 1: Write the proportion equation
279 : 297 = 297 : x - Step 2: Convert to fraction form
279/297 = 297/x - Step 3: Cross multiply
279x = 297 × 297 - Step 4: Simplify right side
279x = 88,209 - Step 5: Solve for x
x = 88,209/279 - Step 6: Final answer
x = 316.16
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Why These Related Problems?
These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.