Home / 827.75-1,207.25

Finding the Third Proportional to 827.75 and 1,207.25

Calculator

Solution

The third proportional to 827.75 and 1,207.25 is: 1,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.75 : 1,207.25 = 1,207.25 : x
  2. Step 2: Convert to fraction form
    827.75/1,207.25 = 1,207.25/x
  3. Step 3: Cross multiply
    827.75x = 1,207.25 × 1,207.25
  4. Step 4: Simplify right side
    827.75x = 1,457,452.56
  5. Step 5: Solve for x
    x = 1,457,452.56/827.75
  6. Step 6: Final answer
    x = 1,760.74

Related Problems

Find third proportional to 413.88 and 603.63
Half scale
Find third proportional to 1,655.50 and 2,414.50
Double scale
Find third proportional to 830 and 1,210
Similar ratio
Find third proportional to 1,241.63 and 1,810.88
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.