Home / 1,969-3,106

Finding the Third Proportional to 1,969 and 3,106

Calculator

Solution

The third proportional to 1,969 and 3,106 is: 4,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969 : 3,106 = 3,106 : x
  2. Step 2: Convert to fraction form
    1,969/3,106 = 3,106/x
  3. Step 3: Cross multiply
    1,969x = 3,106 × 3,106
  4. Step 4: Simplify right side
    1,969x = 9,647,236
  5. Step 5: Solve for x
    x = 9,647,236/1,969
  6. Step 6: Final answer
    x = 4,899.56

Related Problems

Find third proportional to 984.50 and 1,553
Half scale
Find third proportional to 3,938 and 6,212
Double scale
Find third proportional to 1,971 and 3,109
Similar ratio
Find third proportional to 2,953.50 and 4,659
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.