Home / 1,950-4,207

Finding the Third Proportional to 1,950 and 4,207

Calculator

Solution

The third proportional to 1,950 and 4,207 is: 9,076.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950 : 4,207 = 4,207 : x
  2. Step 2: Convert to fraction form
    1,950/4,207 = 4,207/x
  3. Step 3: Cross multiply
    1,950x = 4,207 × 4,207
  4. Step 4: Simplify right side
    1,950x = 17,698,849
  5. Step 5: Solve for x
    x = 17,698,849/1,950
  6. Step 6: Final answer
    x = 9,076.33

Related Problems

Find third proportional to 975 and 2,103.50
Half scale
Find third proportional to 3,900 and 8,414
Double scale
Find third proportional to 1,952 and 4,211
Similar ratio
Find third proportional to 2,925 and 6,310.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.