Finding the Third Proportional to 475 and 1,045
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Solution
The third proportional to 475 and 1,045 is: 2,299
Step by Step Solution
- Step 1: Write the proportion equation
475 : 1,045 = 1,045 : x - Step 2: Convert to fraction form
475/1,045 = 1,045/x - Step 3: Cross multiply
475x = 1,045 × 1,045 - Step 4: Simplify right side
475x = 1,092,025 - Step 5: Solve for x
x = 1,092,025/475 - Step 6: Final answer
x = 2,299
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.