Home / 5,022-6,829.50

Finding the Third Proportional to 5,022 and 6,829.50

Calculator

Solution

The third proportional to 5,022 and 6,829.50 is: 9,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022 : 6,829.50 = 6,829.50 : x
  2. Step 2: Convert to fraction form
    5,022/6,829.50 = 6,829.50/x
  3. Step 3: Cross multiply
    5,022x = 6,829.50 × 6,829.50
  4. Step 4: Simplify right side
    5,022x = 46,642,070.25
  5. Step 5: Solve for x
    x = 46,642,070.25/5,022
  6. Step 6: Final answer
    x = 9,287.55

Related Problems

Find third proportional to 2,511 and 3,414.75
Half scale
Find third proportional to 10,044 and 13,659
Double scale
Find third proportional to 5,024 and 6,832
Similar ratio
Find third proportional to 7,533 and 10,244.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.