Home / 201,976-313,611

Finding the Third Proportional to 201,976 and 313,611

Calculator

Solution

The third proportional to 201,976 and 313,611 is: 486,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,976 : 313,611 = 313,611 : x
  2. Step 2: Convert to fraction form
    201,976/313,611 = 313,611/x
  3. Step 3: Cross multiply
    201,976x = 313,611 × 313,611
  4. Step 4: Simplify right side
    201,976x = 98,351,859,321
  5. Step 5: Solve for x
    x = 98,351,859,321/201,976
  6. Step 6: Final answer
    x = 486,948.25

Related Problems

Find third proportional to 100,988 and 156,805.50
Half scale
Find third proportional to 403,952 and 627,222
Double scale
Find third proportional to 201,978 and 313,614
Similar ratio
Find third proportional to 302,964 and 470,416.50
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.