Home / 822.75-1,706.25

Finding the Third Proportional to 822.75 and 1,706.25

Calculator

Solution

The third proportional to 822.75 and 1,706.25 is: 3,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.75 : 1,706.25 = 1,706.25 : x
  2. Step 2: Convert to fraction form
    822.75/1,706.25 = 1,706.25/x
  3. Step 3: Cross multiply
    822.75x = 1,706.25 × 1,706.25
  4. Step 4: Simplify right side
    822.75x = 2,911,289.06
  5. Step 5: Solve for x
    x = 2,911,289.06/822.75
  6. Step 6: Final answer
    x = 3,538.49

Related Problems

Find third proportional to 411.38 and 853.13
Half scale
Find third proportional to 1,645.50 and 3,412.50
Double scale
Find third proportional to 825 and 1,710
Similar ratio
Find third proportional to 1,234.13 and 2,559.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.