Finding the Third Proportional to 266 and 560
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Solution
The third proportional to 266 and 560 is: 1,178.95
Step by Step Solution
- Step 1: Write the proportion equation
266 : 560 = 560 : x - Step 2: Convert to fraction form
266/560 = 560/x - Step 3: Cross multiply
266x = 560 × 560 - Step 4: Simplify right side
266x = 313,600 - Step 5: Solve for x
x = 313,600/266 - Step 6: Final answer
x = 1,178.95
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.