Home / 980-1,610

Finding the Third Proportional to 980 and 1,610

Calculator

Solution

The third proportional to 980 and 1,610 is: 2,645

Step by Step Solution

  1. Step 1: Write the proportion equation
    980 : 1,610 = 1,610 : x
  2. Step 2: Convert to fraction form
    980/1,610 = 1,610/x
  3. Step 3: Cross multiply
    980x = 1,610 × 1,610
  4. Step 4: Simplify right side
    980x = 2,592,100
  5. Step 5: Solve for x
    x = 2,592,100/980
  6. Step 6: Final answer
    x = 2,645

Related Problems

Find third proportional to 490 and 805
Half scale
Find third proportional to 1,960 and 3,220
Double scale
Find third proportional to 982 and 1,613
Similar ratio
Find third proportional to 1,470 and 2,415
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.