Home / 202,462-314,567

Finding the Third Proportional to 202,462 and 314,567

Calculator

Solution

The third proportional to 202,462 and 314,567 is: 488,745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,462 : 314,567 = 314,567 : x
  2. Step 2: Convert to fraction form
    202,462/314,567 = 314,567/x
  3. Step 3: Cross multiply
    202,462x = 314,567 × 314,567
  4. Step 4: Simplify right side
    202,462x = 98,952,397,489
  5. Step 5: Solve for x
    x = 98,952,397,489/202,462
  6. Step 6: Final answer
    x = 488,745.53

Related Problems

Find third proportional to 101,231 and 157,283.50
Half scale
Find third proportional to 404,924 and 629,134
Double scale
Find third proportional to 202,464 and 314,570
Similar ratio
Find third proportional to 303,693 and 471,850.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.