Home / 307,986-460,716

Finding the Third Proportional to 307,986 and 460,716

Calculator

Solution

The third proportional to 307,986 and 460,716 is: 689,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,986 : 460,716 = 460,716 : x
  2. Step 2: Convert to fraction form
    307,986/460,716 = 460,716/x
  3. Step 3: Cross multiply
    307,986x = 460,716 × 460,716
  4. Step 4: Simplify right side
    307,986x = 212,259,232,656
  5. Step 5: Solve for x
    x = 212,259,232,656/307,986
  6. Step 6: Final answer
    x = 689,184.68

Related Problems

Find third proportional to 153,993 and 230,358
Half scale
Find third proportional to 615,972 and 921,432
Double scale
Find third proportional to 307,988 and 460,719
Similar ratio
Find third proportional to 461,979 and 691,074
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.