Home / 82,201-120,708

Finding the Third Proportional to 82,201 and 120,708

Calculator

Solution

The third proportional to 82,201 and 120,708 is: 177,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,201 : 120,708 = 120,708 : x
  2. Step 2: Convert to fraction form
    82,201/120,708 = 120,708/x
  3. Step 3: Cross multiply
    82,201x = 120,708 × 120,708
  4. Step 4: Simplify right side
    82,201x = 14,570,421,264
  5. Step 5: Solve for x
    x = 14,570,421,264/82,201
  6. Step 6: Final answer
    x = 177,253.58

Related Problems

Find third proportional to 41,100.50 and 60,354
Half scale
Find third proportional to 164,402 and 241,416
Double scale
Find third proportional to 82,203 and 120,711
Similar ratio
Find third proportional to 123,301.50 and 181,062
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.