Home / 13,314-19,856

Finding the Third Proportional to 13,314 and 19,856

Calculator

Solution

The third proportional to 13,314 and 19,856 is: 29,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314 : 19,856 = 19,856 : x
  2. Step 2: Convert to fraction form
    13,314/19,856 = 19,856/x
  3. Step 3: Cross multiply
    13,314x = 19,856 × 19,856
  4. Step 4: Simplify right side
    13,314x = 394,260,736
  5. Step 5: Solve for x
    x = 394,260,736/13,314
  6. Step 6: Final answer
    x = 29,612.49

Related Problems

Find third proportional to 6,657 and 9,928
Half scale
Find third proportional to 26,628 and 39,712
Double scale
Find third proportional to 13,316 and 19,859
Similar ratio
Find third proportional to 19,971 and 29,784
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.