Home / 3,780-5,250

Finding the Third Proportional to 3,780 and 5,250

Calculator

Solution

The third proportional to 3,780 and 5,250 is: 7,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,250 = 5,250 : x
  2. Step 2: Convert to fraction form
    3,780/5,250 = 5,250/x
  3. Step 3: Cross multiply
    3,780x = 5,250 × 5,250
  4. Step 4: Simplify right side
    3,780x = 27,562,500
  5. Step 5: Solve for x
    x = 27,562,500/3,780
  6. Step 6: Final answer
    x = 7,291.67

Related Problems

Find third proportional to 1,890 and 2,625
Half scale
Find third proportional to 7,560 and 10,500
Double scale
Find third proportional to 3,782 and 5,253
Similar ratio
Find third proportional to 5,670 and 7,875
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.