Home / 3,120-3,424.50

Finding the Third Proportional to 3,120 and 3,424.50

Calculator

Solution

The third proportional to 3,120 and 3,424.50 is: 3,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120 : 3,424.50 = 3,424.50 : x
  2. Step 2: Convert to fraction form
    3,120/3,424.50 = 3,424.50/x
  3. Step 3: Cross multiply
    3,120x = 3,424.50 × 3,424.50
  4. Step 4: Simplify right side
    3,120x = 11,727,200.25
  5. Step 5: Solve for x
    x = 11,727,200.25/3,120
  6. Step 6: Final answer
    x = 3,758.72

Related Problems

Find third proportional to 1,560 and 1,712.25
Half scale
Find third proportional to 6,240 and 6,849
Double scale
Find third proportional to 3,122 and 3,427
Similar ratio
Find third proportional to 4,680 and 5,136.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.