Home / 315,852-463,986

Finding the Third Proportional to 315,852 and 463,986

Calculator

Solution

The third proportional to 315,852 and 463,986 is: 681,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,852 : 463,986 = 463,986 : x
  2. Step 2: Convert to fraction form
    315,852/463,986 = 463,986/x
  3. Step 3: Cross multiply
    315,852x = 463,986 × 463,986
  4. Step 4: Simplify right side
    315,852x = 215,283,008,196
  5. Step 5: Solve for x
    x = 215,283,008,196/315,852
  6. Step 6: Final answer
    x = 681,594.57

Related Problems

Find third proportional to 157,926 and 231,993
Half scale
Find third proportional to 631,704 and 927,972
Double scale
Find third proportional to 315,854 and 463,989
Similar ratio
Find third proportional to 473,778 and 695,979
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.