Home / 1,600-2,422.50

Finding the Third Proportional to 1,600 and 2,422.50

Calculator

Solution

The third proportional to 1,600 and 2,422.50 is: 3,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600 : 2,422.50 = 2,422.50 : x
  2. Step 2: Convert to fraction form
    1,600/2,422.50 = 2,422.50/x
  3. Step 3: Cross multiply
    1,600x = 2,422.50 × 2,422.50
  4. Step 4: Simplify right side
    1,600x = 5,868,506.25
  5. Step 5: Solve for x
    x = 5,868,506.25/1,600
  6. Step 6: Final answer
    x = 3,667.82

Related Problems

Find third proportional to 800 and 1,211.25
Half scale
Find third proportional to 3,200 and 4,845
Double scale
Find third proportional to 1,602 and 2,426
Similar ratio
Find third proportional to 2,400 and 3,633.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.