Home / 201,766-312,219

Finding the Third Proportional to 201,766 and 312,219

Calculator

Solution

The third proportional to 201,766 and 312,219 is: 483,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,766 : 312,219 = 312,219 : x
  2. Step 2: Convert to fraction form
    201,766/312,219 = 312,219/x
  3. Step 3: Cross multiply
    201,766x = 312,219 × 312,219
  4. Step 4: Simplify right side
    201,766x = 97,480,703,961
  5. Step 5: Solve for x
    x = 97,480,703,961/201,766
  6. Step 6: Final answer
    x = 483,137.42

Related Problems

Find third proportional to 100,883 and 156,109.50
Half scale
Find third proportional to 403,532 and 624,438
Double scale
Find third proportional to 201,768 and 312,222
Similar ratio
Find third proportional to 302,649 and 468,328.50
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.