Home / 6,740-7,460

Finding the Third Proportional to 6,740 and 7,460

Calculator

Solution

The third proportional to 6,740 and 7,460 is: 8,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740 : 7,460 = 7,460 : x
  2. Step 2: Convert to fraction form
    6,740/7,460 = 7,460/x
  3. Step 3: Cross multiply
    6,740x = 7,460 × 7,460
  4. Step 4: Simplify right side
    6,740x = 55,651,600
  5. Step 5: Solve for x
    x = 55,651,600/6,740
  6. Step 6: Final answer
    x = 8,256.91

Related Problems

Find third proportional to 3,370 and 3,730
Half scale
Find third proportional to 13,480 and 14,920
Double scale
Find third proportional to 6,742 and 7,462
Similar ratio
Find third proportional to 10,110 and 11,190
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.