Home / 619.50-822.75

Finding the Third Proportional to 619.50 and 822.75

Calculator

Solution

The third proportional to 619.50 and 822.75 is: 1,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.50 : 822.75 = 822.75 : x
  2. Step 2: Convert to fraction form
    619.50/822.75 = 822.75/x
  3. Step 3: Cross multiply
    619.50x = 822.75 × 822.75
  4. Step 4: Simplify right side
    619.50x = 676,917.56
  5. Step 5: Solve for x
    x = 676,917.56/619.50
  6. Step 6: Final answer
    x = 1,092.68

Related Problems

Find third proportional to 309.75 and 411.38
Half scale
Find third proportional to 1,239 and 1,645.50
Double scale
Find third proportional to 622 and 825
Similar ratio
Find third proportional to 929.25 and 1,234.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.