Home / 7,820-11,691

Finding the Third Proportional to 7,820 and 11,691

Calculator

Solution

The third proportional to 7,820 and 11,691 is: 17,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820 : 11,691 = 11,691 : x
  2. Step 2: Convert to fraction form
    7,820/11,691 = 11,691/x
  3. Step 3: Cross multiply
    7,820x = 11,691 × 11,691
  4. Step 4: Simplify right side
    7,820x = 136,679,481
  5. Step 5: Solve for x
    x = 136,679,481/7,820
  6. Step 6: Final answer
    x = 17,478.19

Related Problems

Find third proportional to 3,910 and 5,845.50
Half scale
Find third proportional to 15,640 and 23,382
Double scale
Find third proportional to 7,822 and 11,694
Similar ratio
Find third proportional to 11,730 and 17,536.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.