Home / 142,642-199,407

Finding the Third Proportional to 142,642 and 199,407

Calculator

Solution

The third proportional to 142,642 and 199,407 is: 278,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,642 : 199,407 = 199,407 : x
  2. Step 2: Convert to fraction form
    142,642/199,407 = 199,407/x
  3. Step 3: Cross multiply
    142,642x = 199,407 × 199,407
  4. Step 4: Simplify right side
    142,642x = 39,763,151,649
  5. Step 5: Solve for x
    x = 39,763,151,649/142,642
  6. Step 6: Final answer
    x = 278,761.88

Related Problems

Find third proportional to 71,321 and 99,703.50
Half scale
Find third proportional to 285,284 and 398,814
Double scale
Find third proportional to 142,644 and 199,410
Similar ratio
Find third proportional to 213,963 and 299,110.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.