Home / 21,000-31,229

Finding the Third Proportional to 21,000 and 31,229

Calculator

Solution

The third proportional to 21,000 and 31,229 is: 46,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000 : 31,229 = 31,229 : x
  2. Step 2: Convert to fraction form
    21,000/31,229 = 31,229/x
  3. Step 3: Cross multiply
    21,000x = 31,229 × 31,229
  4. Step 4: Simplify right side
    21,000x = 975,250,441
  5. Step 5: Solve for x
    x = 975,250,441/21,000
  6. Step 6: Final answer
    x = 46,440.50

Related Problems

Find third proportional to 10,500 and 15,614.50
Half scale
Find third proportional to 42,000 and 62,458
Double scale
Find third proportional to 21,002 and 31,232
Similar ratio
Find third proportional to 31,500 and 46,843.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.