Home / 8,400-19,668

Finding the Third Proportional to 8,400 and 19,668

Calculator

Solution

The third proportional to 8,400 and 19,668 is: 46,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400 : 19,668 = 19,668 : x
  2. Step 2: Convert to fraction form
    8,400/19,668 = 19,668/x
  3. Step 3: Cross multiply
    8,400x = 19,668 × 19,668
  4. Step 4: Simplify right side
    8,400x = 386,830,224
  5. Step 5: Solve for x
    x = 386,830,224/8,400
  6. Step 6: Final answer
    x = 46,051.22

Related Problems

Find third proportional to 4,200 and 9,834
Half scale
Find third proportional to 16,800 and 39,336
Double scale
Find third proportional to 8,402 and 19,673
Similar ratio
Find third proportional to 12,600 and 29,502
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.