Home / 823.50-1,776.75

Finding the Third Proportional to 823.50 and 1,776.75

Calculator

Solution

The third proportional to 823.50 and 1,776.75 is: 3,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.50 : 1,776.75 = 1,776.75 : x
  2. Step 2: Convert to fraction form
    823.50/1,776.75 = 1,776.75/x
  3. Step 3: Cross multiply
    823.50x = 1,776.75 × 1,776.75
  4. Step 4: Simplify right side
    823.50x = 3,156,840.56
  5. Step 5: Solve for x
    x = 3,156,840.56/823.50
  6. Step 6: Final answer
    x = 3,833.44

Related Problems

Find third proportional to 411.75 and 888.38
Half scale
Find third proportional to 1,647 and 3,553.50
Double scale
Find third proportional to 826 and 1,781
Similar ratio
Find third proportional to 1,235.25 and 2,665.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.