Home / 683.44-1,461.80

Finding the Third Proportional to 683.44 and 1,461.80

Calculator

Solution

The third proportional to 683.44 and 1,461.80 is: 3,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.44 : 1,461.80 = 1,461.80 : x
  2. Step 2: Convert to fraction form
    683.44/1,461.80 = 1,461.80/x
  3. Step 3: Cross multiply
    683.44x = 1,461.80 × 1,461.80
  4. Step 4: Simplify right side
    683.44x = 2,136,850.10
  5. Step 5: Solve for x
    x = 2,136,850.10/683.44
  6. Step 6: Final answer
    x = 3,126.62

Related Problems

Find third proportional to 341.72 and 730.90
Half scale
Find third proportional to 1,366.88 and 2,923.59
Double scale
Find third proportional to 685 and 1,466
Similar ratio
Find third proportional to 1,025.16 and 2,192.70
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.