Home / 20,401-31,523

Finding the Third Proportional to 20,401 and 31,523

Calculator

Solution

The third proportional to 20,401 and 31,523 is: 48,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,401 : 31,523 = 31,523 : x
  2. Step 2: Convert to fraction form
    20,401/31,523 = 31,523/x
  3. Step 3: Cross multiply
    20,401x = 31,523 × 31,523
  4. Step 4: Simplify right side
    20,401x = 993,699,529
  5. Step 5: Solve for x
    x = 993,699,529/20,401
  6. Step 6: Final answer
    x = 48,708.37

Related Problems

Find third proportional to 10,200.50 and 15,761.50
Half scale
Find third proportional to 40,802 and 63,046
Double scale
Find third proportional to 20,403 and 31,526
Similar ratio
Find third proportional to 30,601.50 and 47,284.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.