Finding the Third Proportional to 1,050 and 1,890
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Solution
The third proportional to 1,050 and 1,890 is: 3,402
Step by Step Solution
- Step 1: Write the proportion equation
1,050 : 1,890 = 1,890 : x - Step 2: Convert to fraction form
1,050/1,890 = 1,890/x - Step 3: Cross multiply
1,050x = 1,890 × 1,890 - Step 4: Simplify right side
1,050x = 3,572,100 - Step 5: Solve for x
x = 3,572,100/1,050 - Step 6: Final answer
x = 3,402
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Why These Related Problems?
These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.