Home / 8,064-19,416

Finding the Third Proportional to 8,064 and 19,416

Calculator

Solution

The third proportional to 8,064 and 19,416 is: 46,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064 : 19,416 = 19,416 : x
  2. Step 2: Convert to fraction form
    8,064/19,416 = 19,416/x
  3. Step 3: Cross multiply
    8,064x = 19,416 × 19,416
  4. Step 4: Simplify right side
    8,064x = 376,981,056
  5. Step 5: Solve for x
    x = 376,981,056/8,064
  6. Step 6: Final answer
    x = 46,748.64

Related Problems

Find third proportional to 4,032 and 9,708
Half scale
Find third proportional to 16,128 and 38,832
Double scale
Find third proportional to 8,066 and 19,421
Similar ratio
Find third proportional to 12,096 and 29,124
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.