Home / 313.50-822

Finding the Third Proportional to 313.50 and 822

Calculator

Solution

The third proportional to 313.50 and 822 is: 2,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.50 : 822 = 822 : x
  2. Step 2: Convert to fraction form
    313.50/822 = 822/x
  3. Step 3: Cross multiply
    313.50x = 822 × 822
  4. Step 4: Simplify right side
    313.50x = 675,684
  5. Step 5: Solve for x
    x = 675,684/313.50
  6. Step 6: Final answer
    x = 2,155.29

Related Problems

Find third proportional to 156.75 and 411
Half scale
Find third proportional to 627 and 1,644
Double scale
Find third proportional to 316 and 827
Similar ratio
Find third proportional to 470.25 and 1,233
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.