Finding the Third Proportional to 174 and 289
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Solution
The third proportional to 174 and 289 is: 480.01
Step by Step Solution
- Step 1: Write the proportion equation
174 : 289 = 289 : x - Step 2: Convert to fraction form
174/289 = 289/x - Step 3: Cross multiply
174x = 289 × 289 - Step 4: Simplify right side
174x = 83,521 - Step 5: Solve for x
x = 83,521/174 - Step 6: Final answer
x = 480.01
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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.