Finding the Third Proportional to 530 and 1,004
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Solution
The third proportional to 530 and 1,004 is: 1,901.92
Step by Step Solution
- Step 1: Write the proportion equation
530 : 1,004 = 1,004 : x - Step 2: Convert to fraction form
530/1,004 = 1,004/x - Step 3: Cross multiply
530x = 1,004 × 1,004 - Step 4: Simplify right side
530x = 1,008,016 - Step 5: Solve for x
x = 1,008,016/530 - Step 6: Final answer
x = 1,901.92
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Why These Related Problems?
These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.