Finding the Third Proportional to 1,875 and 4,200
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Solution
The third proportional to 1,875 and 4,200 is: 9,408
Step by Step Solution
- Step 1: Write the proportion equation
1,875 : 4,200 = 4,200 : x - Step 2: Convert to fraction form
1,875/4,200 = 4,200/x - Step 3: Cross multiply
1,875x = 4,200 × 4,200 - Step 4: Simplify right side
1,875x = 17,640,000 - Step 5: Solve for x
x = 17,640,000/1,875 - Step 6: Final answer
x = 9,408
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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.