Home / 13,864-21,311

Finding the Third Proportional to 13,864 and 21,311

Calculator

Solution

The third proportional to 13,864 and 21,311 is: 32,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864 : 21,311 = 21,311 : x
  2. Step 2: Convert to fraction form
    13,864/21,311 = 21,311/x
  3. Step 3: Cross multiply
    13,864x = 21,311 × 21,311
  4. Step 4: Simplify right side
    13,864x = 454,158,721
  5. Step 5: Solve for x
    x = 454,158,721/13,864
  6. Step 6: Final answer
    x = 32,758.13

Related Problems

Find third proportional to 6,932 and 10,655.50
Half scale
Find third proportional to 27,728 and 42,622
Double scale
Find third proportional to 13,866 and 21,314
Similar ratio
Find third proportional to 20,796 and 31,966.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.