Home / 340-837

Finding the Third Proportional to 340 and 837

Calculator

Solution

The third proportional to 340 and 837 is: 2,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340 : 837 = 837 : x
  2. Step 2: Convert to fraction form
    340/837 = 837/x
  3. Step 3: Cross multiply
    340x = 837 × 837
  4. Step 4: Simplify right side
    340x = 700,569
  5. Step 5: Solve for x
    x = 700,569/340
  6. Step 6: Final answer
    x = 2,060.50

Related Problems

Find third proportional to 170 and 418.50
Half scale
Find third proportional to 680 and 1,674
Double scale
Find third proportional to 342 and 842
Similar ratio
Find third proportional to 510 and 1,255.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.