Finding the Third Proportional to 1,575 and 1,785
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Solution
The third proportional to 1,575 and 1,785 is: 2,023
Step by Step Solution
- Step 1: Write the proportion equation
1,575 : 1,785 = 1,785 : x - Step 2: Convert to fraction form
1,575/1,785 = 1,785/x - Step 3: Cross multiply
1,575x = 1,785 × 1,785 - Step 4: Simplify right side
1,575x = 3,186,225 - Step 5: Solve for x
x = 3,186,225/1,575 - Step 6: Final answer
x = 2,023
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.