Home / 313,692-682,140

Finding the Third Proportional to 313,692 and 682,140

Calculator

Solution

The third proportional to 313,692 and 682,140 is: 1,483,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,692 : 682,140 = 682,140 : x
  2. Step 2: Convert to fraction form
    313,692/682,140 = 682,140/x
  3. Step 3: Cross multiply
    313,692x = 682,140 × 682,140
  4. Step 4: Simplify right side
    313,692x = 465,314,979,600
  5. Step 5: Solve for x
    x = 465,314,979,600/313,692
  6. Step 6: Final answer
    x = 1,483,349.85

Related Problems

Find third proportional to 156,846 and 341,070
Half scale
Find third proportional to 627,384 and 1,364,280
Double scale
Find third proportional to 313,694 and 682,144
Similar ratio
Find third proportional to 470,538 and 1,023,210
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.