Home / 7,610-16,822

Finding the Third Proportional to 7,610 and 16,822

Calculator

Solution

The third proportional to 7,610 and 16,822 is: 37,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610 : 16,822 = 16,822 : x
  2. Step 2: Convert to fraction form
    7,610/16,822 = 16,822/x
  3. Step 3: Cross multiply
    7,610x = 16,822 × 16,822
  4. Step 4: Simplify right side
    7,610x = 282,979,684
  5. Step 5: Solve for x
    x = 282,979,684/7,610
  6. Step 6: Final answer
    x = 37,185.24

Related Problems

Find third proportional to 3,805 and 8,411
Half scale
Find third proportional to 15,220 and 33,644
Double scale
Find third proportional to 7,612 and 16,826
Similar ratio
Find third proportional to 11,415 and 25,233
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.