Finding the Third Proportional to 309 and 569
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Solution
The third proportional to 309 and 569 is: 1,047.77
Step by Step Solution
- Step 1: Write the proportion equation
309 : 569 = 569 : x - Step 2: Convert to fraction form
309/569 = 569/x - Step 3: Cross multiply
309x = 569 × 569 - Step 4: Simplify right side
309x = 323,761 - Step 5: Solve for x
x = 323,761/309 - Step 6: Final answer
x = 1,047.77
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Why These Related Problems?
These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.