Home / 259,724-405,984

Finding the Third Proportional to 259,724 and 405,984

Calculator

Solution

The third proportional to 259,724 and 405,984 is: 634,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,724 : 405,984 = 405,984 : x
  2. Step 2: Convert to fraction form
    259,724/405,984 = 405,984/x
  3. Step 3: Cross multiply
    259,724x = 405,984 × 405,984
  4. Step 4: Simplify right side
    259,724x = 164,823,008,256
  5. Step 5: Solve for x
    x = 164,823,008,256/259,724
  6. Step 6: Final answer
    x = 634,608.31

Related Problems

Find third proportional to 129,862 and 202,992
Half scale
Find third proportional to 519,448 and 811,968
Double scale
Find third proportional to 259,726 and 405,987
Similar ratio
Find third proportional to 389,586 and 608,976
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.