Home / 1,949-4,210

Finding the Third Proportional to 1,949 and 4,210

Calculator

Solution

The third proportional to 1,949 and 4,210 is: 9,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949 : 4,210 = 4,210 : x
  2. Step 2: Convert to fraction form
    1,949/4,210 = 4,210/x
  3. Step 3: Cross multiply
    1,949x = 4,210 × 4,210
  4. Step 4: Simplify right side
    1,949x = 17,724,100
  5. Step 5: Solve for x
    x = 17,724,100/1,949
  6. Step 6: Final answer
    x = 9,093.95

Related Problems

Find third proportional to 974.50 and 2,105
Half scale
Find third proportional to 3,898 and 8,420
Double scale
Find third proportional to 1,951 and 4,214
Similar ratio
Find third proportional to 2,923.50 and 6,315
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.