Home / 20,478-31,311

Finding the Third Proportional to 20,478 and 31,311

Calculator

Solution

The third proportional to 20,478 and 31,311 is: 47,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478 : 31,311 = 31,311 : x
  2. Step 2: Convert to fraction form
    20,478/31,311 = 31,311/x
  3. Step 3: Cross multiply
    20,478x = 31,311 × 31,311
  4. Step 4: Simplify right side
    20,478x = 980,378,721
  5. Step 5: Solve for x
    x = 980,378,721/20,478
  6. Step 6: Final answer
    x = 47,874.73

Related Problems

Find third proportional to 10,239 and 15,655.50
Half scale
Find third proportional to 40,956 and 62,622
Double scale
Find third proportional to 20,480 and 31,314
Similar ratio
Find third proportional to 30,717 and 46,966.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.