Home / 13,420-19,328

Finding the Third Proportional to 13,420 and 19,328

Calculator

Solution

The third proportional to 13,420 and 19,328 is: 27,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420 : 19,328 = 19,328 : x
  2. Step 2: Convert to fraction form
    13,420/19,328 = 19,328/x
  3. Step 3: Cross multiply
    13,420x = 19,328 × 19,328
  4. Step 4: Simplify right side
    13,420x = 373,571,584
  5. Step 5: Solve for x
    x = 373,571,584/13,420
  6. Step 6: Final answer
    x = 27,836.93

Related Problems

Find third proportional to 6,710 and 9,664
Half scale
Find third proportional to 26,840 and 38,656
Double scale
Find third proportional to 13,422 and 19,331
Similar ratio
Find third proportional to 20,130 and 28,992
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.