Home / 23,831-31,623

Finding the Third Proportional to 23,831 and 31,623

Calculator

Solution

The third proportional to 23,831 and 31,623 is: 41,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,831 : 31,623 = 31,623 : x
  2. Step 2: Convert to fraction form
    23,831/31,623 = 31,623/x
  3. Step 3: Cross multiply
    23,831x = 31,623 × 31,623
  4. Step 4: Simplify right side
    23,831x = 1,000,014,129
  5. Step 5: Solve for x
    x = 1,000,014,129/23,831
  6. Step 6: Final answer
    x = 41,962.74

Related Problems

Find third proportional to 11,915.50 and 15,811.50
Half scale
Find third proportional to 47,662 and 63,246
Double scale
Find third proportional to 23,833 and 31,626
Similar ratio
Find third proportional to 35,746.50 and 47,434.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.