Finding the Third Proportional to 649 and 1,283
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Solution
The third proportional to 649 and 1,283 is: 2,536.35
Step by Step Solution
- Step 1: Write the proportion equation
649 : 1,283 = 1,283 : x - Step 2: Convert to fraction form
649/1,283 = 1,283/x - Step 3: Cross multiply
649x = 1,283 × 1,283 - Step 4: Simplify right side
649x = 1,646,089 - Step 5: Solve for x
x = 1,646,089/649 - Step 6: Final answer
x = 2,536.35
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Why These Related Problems?
These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.