Finding the Third Proportional to 687 and 1,456
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Solution
The third proportional to 687 and 1,456 is: 3,085.79
Step by Step Solution
- Step 1: Write the proportion equation
687 : 1,456 = 1,456 : x - Step 2: Convert to fraction form
687/1,456 = 1,456/x - Step 3: Cross multiply
687x = 1,456 × 1,456 - Step 4: Simplify right side
687x = 2,119,936 - Step 5: Solve for x
x = 2,119,936/687 - Step 6: Final answer
x = 3,085.79
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.