Home / 1,820-2,642

Finding the Third Proportional to 1,820 and 2,642

Calculator

Solution

The third proportional to 1,820 and 2,642 is: 3,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820 : 2,642 = 2,642 : x
  2. Step 2: Convert to fraction form
    1,820/2,642 = 2,642/x
  3. Step 3: Cross multiply
    1,820x = 2,642 × 2,642
  4. Step 4: Simplify right side
    1,820x = 6,980,164
  5. Step 5: Solve for x
    x = 6,980,164/1,820
  6. Step 6: Final answer
    x = 3,835.25

Related Problems

Find third proportional to 910 and 1,321
Half scale
Find third proportional to 3,640 and 5,284
Double scale
Find third proportional to 1,822 and 2,645
Similar ratio
Find third proportional to 2,730 and 3,963
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.