Finding the Third Proportional to 524 and 1,286
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Solution
The third proportional to 524 and 1,286 is: 3,156.10
Step by Step Solution
- Step 1: Write the proportion equation
524 : 1,286 = 1,286 : x - Step 2: Convert to fraction form
524/1,286 = 1,286/x - Step 3: Cross multiply
524x = 1,286 × 1,286 - Step 4: Simplify right side
524x = 1,653,796 - Step 5: Solve for x
x = 1,653,796/524 - Step 6: Final answer
x = 3,156.10
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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.