Home / 100,814-148,922

Finding the Third Proportional to 100,814 and 148,922

Calculator

Solution

The third proportional to 100,814 and 148,922 is: 219,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,814 : 148,922 = 148,922 : x
  2. Step 2: Convert to fraction form
    100,814/148,922 = 148,922/x
  3. Step 3: Cross multiply
    100,814x = 148,922 × 148,922
  4. Step 4: Simplify right side
    100,814x = 22,177,762,084
  5. Step 5: Solve for x
    x = 22,177,762,084/100,814
  6. Step 6: Final answer
    x = 219,986.93

Related Problems

Find third proportional to 50,407 and 74,461
Half scale
Find third proportional to 201,628 and 297,844
Double scale
Find third proportional to 100,816 and 148,925
Similar ratio
Find third proportional to 151,221 and 223,383
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.