Home / 306,342-465,993

Finding the Third Proportional to 306,342 and 465,993

Calculator

Solution

The third proportional to 306,342 and 465,993 is: 708,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,342 : 465,993 = 465,993 : x
  2. Step 2: Convert to fraction form
    306,342/465,993 = 465,993/x
  3. Step 3: Cross multiply
    306,342x = 465,993 × 465,993
  4. Step 4: Simplify right side
    306,342x = 217,149,476,049
  5. Step 5: Solve for x
    x = 217,149,476,049/306,342
  6. Step 6: Final answer
    x = 708,846.57

Related Problems

Find third proportional to 153,171 and 232,996.50
Half scale
Find third proportional to 612,684 and 931,986
Double scale
Find third proportional to 306,344 and 465,996
Similar ratio
Find third proportional to 459,513 and 698,989.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.