Home / 10,072-22,232

Finding the Third Proportional to 10,072 and 22,232

Calculator

Solution

The third proportional to 10,072 and 22,232 is: 49,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072 : 22,232 = 22,232 : x
  2. Step 2: Convert to fraction form
    10,072/22,232 = 22,232/x
  3. Step 3: Cross multiply
    10,072x = 22,232 × 22,232
  4. Step 4: Simplify right side
    10,072x = 494,261,824
  5. Step 5: Solve for x
    x = 494,261,824/10,072
  6. Step 6: Final answer
    x = 49,072.86

Related Problems

Find third proportional to 5,036 and 11,116
Half scale
Find third proportional to 20,144 and 44,464
Double scale
Find third proportional to 10,074 and 22,236
Similar ratio
Find third proportional to 15,108 and 33,348
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.