Home / 7,702-8,822

Finding the Third Proportional to 7,702 and 8,822

Calculator

Solution

The third proportional to 7,702 and 8,822 is: 10,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702 : 8,822 = 8,822 : x
  2. Step 2: Convert to fraction form
    7,702/8,822 = 8,822/x
  3. Step 3: Cross multiply
    7,702x = 8,822 × 8,822
  4. Step 4: Simplify right side
    7,702x = 77,827,684
  5. Step 5: Solve for x
    x = 77,827,684/7,702
  6. Step 6: Final answer
    x = 10,104.87

Related Problems

Find third proportional to 3,851 and 4,411
Half scale
Find third proportional to 15,404 and 17,644
Double scale
Find third proportional to 7,704 and 8,824
Similar ratio
Find third proportional to 11,553 and 13,233
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.