Home / 837-1,509

Finding the Third Proportional to 837 and 1,509

Calculator

Solution

The third proportional to 837 and 1,509 is: 2,720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    837 : 1,509 = 1,509 : x
  2. Step 2: Convert to fraction form
    837/1,509 = 1,509/x
  3. Step 3: Cross multiply
    837x = 1,509 × 1,509
  4. Step 4: Simplify right side
    837x = 2,277,081
  5. Step 5: Solve for x
    x = 2,277,081/837
  6. Step 6: Final answer
    x = 2,720.53

Related Problems

Find third proportional to 418.50 and 754.50
Half scale
Find third proportional to 1,674 and 3,018
Double scale
Find third proportional to 839 and 1,513
Similar ratio
Find third proportional to 1,255.50 and 2,263.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.