Home / 84,422-197,231

Finding the Third Proportional to 84,422 and 197,231

Calculator

Solution

The third proportional to 84,422 and 197,231 is: 460,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,422 : 197,231 = 197,231 : x
  2. Step 2: Convert to fraction form
    84,422/197,231 = 197,231/x
  3. Step 3: Cross multiply
    84,422x = 197,231 × 197,231
  4. Step 4: Simplify right side
    84,422x = 38,900,067,361
  5. Step 5: Solve for x
    x = 38,900,067,361/84,422
  6. Step 6: Final answer
    x = 460,781.16

Related Problems

Find third proportional to 42,211 and 98,615.50
Half scale
Find third proportional to 168,844 and 394,462
Double scale
Find third proportional to 84,424 and 197,236
Similar ratio
Find third proportional to 126,633 and 295,846.50
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.