Home / 20,220-30,970

Finding the Third Proportional to 20,220 and 30,970

Calculator

Solution

The third proportional to 20,220 and 30,970 is: 47,435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,220 : 30,970 = 30,970 : x
  2. Step 2: Convert to fraction form
    20,220/30,970 = 30,970/x
  3. Step 3: Cross multiply
    20,220x = 30,970 × 30,970
  4. Step 4: Simplify right side
    20,220x = 959,140,900
  5. Step 5: Solve for x
    x = 959,140,900/20,220
  6. Step 6: Final answer
    x = 47,435.26

Related Problems

Find third proportional to 10,110 and 15,485
Half scale
Find third proportional to 40,440 and 61,940
Double scale
Find third proportional to 20,222 and 30,973
Similar ratio
Find third proportional to 30,330 and 46,455
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.