Home / 21,646-32,471

Finding the Third Proportional to 21,646 and 32,471

Calculator

Solution

The third proportional to 21,646 and 32,471 is: 48,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646 : 32,471 = 32,471 : x
  2. Step 2: Convert to fraction form
    21,646/32,471 = 32,471/x
  3. Step 3: Cross multiply
    21,646x = 32,471 × 32,471
  4. Step 4: Simplify right side
    21,646x = 1,054,365,841
  5. Step 5: Solve for x
    x = 1,054,365,841/21,646
  6. Step 6: Final answer
    x = 48,709.50

Related Problems

Find third proportional to 10,823 and 16,235.50
Half scale
Find third proportional to 43,292 and 64,942
Double scale
Find third proportional to 21,648 and 32,474
Similar ratio
Find third proportional to 32,469 and 48,706.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.