Home / 8,411-9,719

Finding the Third Proportional to 8,411 and 9,719

Calculator

Solution

The third proportional to 8,411 and 9,719 is: 11,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411 : 9,719 = 9,719 : x
  2. Step 2: Convert to fraction form
    8,411/9,719 = 9,719/x
  3. Step 3: Cross multiply
    8,411x = 9,719 × 9,719
  4. Step 4: Simplify right side
    8,411x = 94,458,961
  5. Step 5: Solve for x
    x = 94,458,961/8,411
  6. Step 6: Final answer
    x = 11,230.41

Related Problems

Find third proportional to 4,205.50 and 4,859.50
Half scale
Find third proportional to 16,822 and 19,438
Double scale
Find third proportional to 8,413 and 9,721
Similar ratio
Find third proportional to 12,616.50 and 14,578.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.