Home / 20,806-31,475

Finding the Third Proportional to 20,806 and 31,475

Calculator

Solution

The third proportional to 20,806 and 31,475 is: 47,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806 : 31,475 = 31,475 : x
  2. Step 2: Convert to fraction form
    20,806/31,475 = 31,475/x
  3. Step 3: Cross multiply
    20,806x = 31,475 × 31,475
  4. Step 4: Simplify right side
    20,806x = 990,675,625
  5. Step 5: Solve for x
    x = 990,675,625/20,806
  6. Step 6: Final answer
    x = 47,614.90

Related Problems

Find third proportional to 10,403 and 15,737.50
Half scale
Find third proportional to 41,612 and 62,950
Double scale
Find third proportional to 20,808 and 31,478
Similar ratio
Find third proportional to 31,209 and 47,212.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.