Home / 1,900-2,470

Finding the Third Proportional to 1,900 and 2,470

Calculator

Solution

The third proportional to 1,900 and 2,470 is: 3,211

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900 : 2,470 = 2,470 : x
  2. Step 2: Convert to fraction form
    1,900/2,470 = 2,470/x
  3. Step 3: Cross multiply
    1,900x = 2,470 × 2,470
  4. Step 4: Simplify right side
    1,900x = 6,100,900
  5. Step 5: Solve for x
    x = 6,100,900/1,900
  6. Step 6: Final answer
    x = 3,211

Related Problems

Find third proportional to 950 and 1,235
Half scale
Find third proportional to 3,800 and 4,940
Double scale
Find third proportional to 1,902 and 2,473
Similar ratio
Find third proportional to 2,850 and 3,705
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.