Home / 1,540-2,338

Finding the Third Proportional to 1,540 and 2,338

Calculator

Solution

The third proportional to 1,540 and 2,338 is: 3,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540 : 2,338 = 2,338 : x
  2. Step 2: Convert to fraction form
    1,540/2,338 = 2,338/x
  3. Step 3: Cross multiply
    1,540x = 2,338 × 2,338
  4. Step 4: Simplify right side
    1,540x = 5,466,244
  5. Step 5: Solve for x
    x = 5,466,244/1,540
  6. Step 6: Final answer
    x = 3,549.51

Related Problems

Find third proportional to 770 and 1,169
Half scale
Find third proportional to 3,080 and 4,676
Double scale
Find third proportional to 1,542 and 2,341
Similar ratio
Find third proportional to 2,310 and 3,507
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.