Home / 5,200-7,420

Finding the Third Proportional to 5,200 and 7,420

Calculator

Solution

The third proportional to 5,200 and 7,420 is: 10,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200 : 7,420 = 7,420 : x
  2. Step 2: Convert to fraction form
    5,200/7,420 = 7,420/x
  3. Step 3: Cross multiply
    5,200x = 7,420 × 7,420
  4. Step 4: Simplify right side
    5,200x = 55,056,400
  5. Step 5: Solve for x
    x = 55,056,400/5,200
  6. Step 6: Final answer
    x = 10,587.77

Related Problems

Find third proportional to 2,600 and 3,710
Half scale
Find third proportional to 10,400 and 14,840
Double scale
Find third proportional to 5,202 and 7,423
Similar ratio
Find third proportional to 7,800 and 11,130
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.