Home / 137,984-202,434

Finding the Third Proportional to 137,984 and 202,434

Calculator

Solution

The third proportional to 137,984 and 202,434 is: 296,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,984 : 202,434 = 202,434 : x
  2. Step 2: Convert to fraction form
    137,984/202,434 = 202,434/x
  3. Step 3: Cross multiply
    137,984x = 202,434 × 202,434
  4. Step 4: Simplify right side
    137,984x = 40,979,524,356
  5. Step 5: Solve for x
    x = 40,979,524,356/137,984
  6. Step 6: Final answer
    x = 296,987.51

Related Problems

Find third proportional to 68,992 and 101,217
Half scale
Find third proportional to 275,968 and 404,868
Double scale
Find third proportional to 137,986 and 202,437
Similar ratio
Find third proportional to 206,976 and 303,651
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.