Home / 20,812-31,913

Finding the Third Proportional to 20,812 and 31,913

Calculator

Solution

The third proportional to 20,812 and 31,913 is: 48,935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812 : 31,913 = 31,913 : x
  2. Step 2: Convert to fraction form
    20,812/31,913 = 31,913/x
  3. Step 3: Cross multiply
    20,812x = 31,913 × 31,913
  4. Step 4: Simplify right side
    20,812x = 1,018,439,569
  5. Step 5: Solve for x
    x = 1,018,439,569/20,812
  6. Step 6: Final answer
    x = 48,935.21

Related Problems

Find third proportional to 10,406 and 15,956.50
Half scale
Find third proportional to 41,624 and 63,826
Double scale
Find third proportional to 20,814 and 31,916
Similar ratio
Find third proportional to 31,218 and 47,869.50
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.