Home / 201,540-314,565

Finding the Third Proportional to 201,540 and 314,565

Calculator

Solution

The third proportional to 201,540 and 314,565 is: 490,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,540 : 314,565 = 314,565 : x
  2. Step 2: Convert to fraction form
    201,540/314,565 = 314,565/x
  3. Step 3: Cross multiply
    201,540x = 314,565 × 314,565
  4. Step 4: Simplify right side
    201,540x = 98,951,139,225
  5. Step 5: Solve for x
    x = 98,951,139,225/201,540
  6. Step 6: Final answer
    x = 490,975.19

Related Problems

Find third proportional to 100,770 and 157,282.50
Half scale
Find third proportional to 403,080 and 629,130
Double scale
Find third proportional to 201,542 and 314,568
Similar ratio
Find third proportional to 302,310 and 471,847.50
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.