Home / 2,570-3,537

Finding the Third Proportional to 2,570 and 3,537

Calculator

Solution

The third proportional to 2,570 and 3,537 is: 4,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570 : 3,537 = 3,537 : x
  2. Step 2: Convert to fraction form
    2,570/3,537 = 3,537/x
  3. Step 3: Cross multiply
    2,570x = 3,537 × 3,537
  4. Step 4: Simplify right side
    2,570x = 12,510,369
  5. Step 5: Solve for x
    x = 12,510,369/2,570
  6. Step 6: Final answer
    x = 4,867.85

Related Problems

Find third proportional to 1,285 and 1,768.50
Half scale
Find third proportional to 5,140 and 7,074
Double scale
Find third proportional to 2,572 and 3,540
Similar ratio
Find third proportional to 3,855 and 5,305.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.